5008 = 24 x 313.
5008 has a representation as a sum of two squares: 5008 = 482 + 522.
5008 is a divisor of 254 - 1.
5008 is 130013 in base 5.
5008 is the number of permutations of length 7 such that at least one absolute difference between consecutive elements has a distinct partner.
Source: WolframAlpha