Python - 46 chars

n=bin(input())[2:]
print'YNEOS'[n!=n[::-1]::2]

Vyxal, 85 bits^v1, 10.625 bytes

-6 bits thanks to @lyxal

-3 bits thanks to @the-thonnu

bḂ≠`∨ȯno`½iN

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b            # binary of input
 Ḃ≠          # is not equal to its reverse (essentially: is not a palindrome?)
   `∨ȯno`    # compressed string `yesno`
         ½   # split into two strings of equal length
          i  # index that inequality (0/1) into that
           N # case swapped to uppercase

Ruby, 41 39

$><<%w(YES NO)[(n="%b"%$*)<=>n.reverse]

Thanks to Michael Kohl's "%b"%gets trick.

C 84 81 74 Characters

r;main(v,x){for(scanf("%d",&v),x=v;v;v/=2)r=r*2|v&1;puts(r-x?"NO":"YES");}

It does not use any function like string reverse.

Javascript - 79 77 chars

alert((a=(prompt()*1).toString(2))-a.split("").reverse().join("")?"NO":"YES")

More information

prompt()*1 : Quick trick to convert string to number.

.toString(2) : That's how you convert to binary in javascript.

a.split("").reverse().join("") : There is no native support to reverse string, so you have to convert string to array and array to string.

("[part1]" - "[part 2]")?"YES":"NO" : - is a replacement for != to save 1 char.

PHP - 41

<?=strrev($n=decbin(`cat`))==$n?@YES:@NO;

Test:

php 713.php <<< 5
YES
php 713.php <<< 6
NO

Perl, 45 characters

$_=sprintf'%b',shift;
print reverse==$_?YES:NO

Ruby, 43 characters

puts((n="%b"%gets)==n.reverse ? "YES":"NO")

Windows PowerShell, 67

('NO','YES')[($a=[Convert]::ToString("$input",2))-eq-join$a[64..0]]

05AB1E, 17 12 bytes

‘NO…Ü‘#EbÂQè

-5 bytes thanks to Adnan.

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JavaScript, 75 bytes 69 bytes

alert((a=[...(+prompt()).toString(2)]).some(x=>x-a.pop())?"NO":"YES")

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A different approach from HoLyVieR's solution

Explanation

+prompt() : Converts string to number

[...s] : converts a string s to an array of chars

.some((x) => x - a.pop()) : checks whether there is one element in the array that does not equal the last element of the array

Edit

69 chars, thanks to the suggestions by Shaggy

Arturo, 47 bytes

print(=reverse<=as.binary do arg\0)?->'YES->'NO

Python (51)

n=bin(input())[2:]
print'YES'if n==n[::-1]else'NO'

Perl (73)

No string reverse:

print f(split//,sprintf'%b',shift);
sub f{@_<=1?YES:shift!=pop()?NO:f(@_)}

Perl (127)

This one constructs all palindromes up to 2^32.

sub f{
    my($x,$l)=@_;
    $l+=2,f(($x<<$_)+1+(1<<$l-1),$l)?return 1:0 for 1..15-$l/2;
    $x-$ARGV[0]?0:1
}
print f(0,1)+f(0,0)+f(1,1)?YES:NO

Bash, 55 chars

C=`dc<<<$1\ 2op`;[ $C = `rev<<<$C` ]&&echo YES||echo NO

J - 33 characters

13 : ';(]-:|.)#:y{''YES'';''NO'''

J: 24

((-:|.)#:x){2 3$'NO YES'

eg:

   ((-:|.)#:5){2 3$'NO YES'
YES
   ((-:|.)#:12){2 3$'NO YES'
NO
   ((-:|.)#:125){2 3$'NO YES'
NO
   ((-:|.)#:63){2 3$'NO YES'
YES

Haskell (79)

0?k=n;n?k=div n 2?(n`mod`2+k*2);f x|x==x?0="YES"|True="No";main=interact$f.read

C (77 bytes)

r,t;main(n){for(t=n=atoi(gets(&n));n;r*=2,r|=n%2,n/=2);puts(r-t?"NO":"YES");}

TEST

Pyth, 18 bytes

%2>"YNEOS"!qJ.BQ_J

Also 18 bytes:

@,"NO""YES"qJ.BQ_J

PHP, not competing

I wanted to do it without using strings at all.

iterative solution, 78 bytes

for($x=log($n=$argv[1],2);$i<$x&($n>>$i^$n>>$x-$i^1);$i++);echo$i<$x/2?NO:YES;

recursive solution, 113 bytes

function p($n,$x=0){return$n<2?$n:is_pal(($n&(1<<$x=log($n,2)/2)-1)^$n>>$x+!is_int($x));}echo p($argv[1])?YES:NO;

If n is a binary palindrome, the upper half xor the lower half is also a binary palindrome and vice versa.

a port of the excellent C answer from fR0DDY, 58 bytes

for($x=2*$v=$argv[1];$x/=2;$r=$r*2|$x&1);echo$r-$v?NO:YES;

a binary reverse. Columbus´ egg.

Jelly, 12 bytes (non-competing)

BṚ⁼Bị“YES“NO

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Explanation:

BṚ⁼Bị“YES“NO Main link. Arguments: z.
B            Binary representation of z.
 Ṛ           Reversed.
   B         Binary representation of z.
  ⁼          Check if x is equal to y.
     “YES“NO [['Y', 'E', 'S'], ['N', 'O']]
    ị        xth element of y (1-indexed).

Before printing, Python's str function is mapped through a list, and then the elements are concatenated, so you see YES or NO.

Wolfram Language (Mathematica), 46 bytes

If[PalindromeQ@IntegerDigits[#,2],"YES","NO"]&

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Arn, 16 bytes

±î«Áýãf©¯tvf–ɉ2

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Explained

Unpacked: "YES"^(=\|:;b)||"NO. Man that yes/no required output really killed my byte count

    "YES"         String
  ^               Repeated
    (             Begin expression
        \         Fold with...
      =           ...equality
          |:      Bifurcate
              _   Variable initialized to STDIN; implied
            ;b    Binary representation
    )             End expression
||                Boolean OR
  "NO             String, ending quote implied

This works because empty strings are falsey.

Pyth, 16 bytes

?q_K.BQK"YES""NO

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?q_K.BQK"YES""NO
   K.BQ          // Assign binary input to K
?q_K   K         // Evaluate whether K and reversed K are equal
        "YES""NO // Ternary output.

APL (Dyalog Unicode), 23 bytes (SBCS)

'NO' 'YES'⊃⍨≡∘⌽⍨2⊥⍣¯1⊢⎕

-3 bytes from Bubbler, after fitting the question requirements.

Instead of performing an if-else like below, this program uses APL's representation of true as 1 and false as 0 to select from an array, where 'NO' is in the 0th index and 'YES' is in the first index.

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APL (Dyalog Unicode), 26 bytes (SBCS)

{(⌽≡⊢)2(⊥⍣¯1)⍵:'YES'⋄'NO'}

Explanation

{(⌽≡⊢)2(⊥⍣¯1)⍵:'YES'⋄'NO'}
{                        } function wrapper
             ⍵             take the right argument
      2(⊥⍣¯1)              convert to base 2, and split into -1 groups(gets all digits)
 (⌽≡⊢)                     reverse equals right expression?
              :'YES'⋄'NO'} if the above is true, display 'YES', otherwise 'NO'

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Retina, 80 78 bytes

Byte count assumes ISO 8859-1 encoding.

.+
$*
+`(1+)\1
${1}0
01
1
^((.)*?).??((?<-2>.)*$)
$1¶$3
O$^`.(?=.*¶)

^(.*)¶\1

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Convert to unary. Convert that to binary. Cut the number in half and remove a middle digit if there is one. Reverse the first half. Match if both halves are equal.

Japt, 13 bytes

¢è¬?`y`u:"NO

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