13508 has 12 divisors (see below), whose sum is σ = 25872. Its totient is φ = 6120.

The previous prime is 13499. The next prime is 13513. The reversal of 13508 is 80531.

13508 is nontrivially palindromic in base 7.

It is a plaindrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 110 + ... + 197.

It is an arithmetic number, because the mean of its divisors is an integer number (2156).

2¹³⁵⁰⁸ is an apocalyptic number.

It is an amenable number.

13508 is a deficient number, since it is larger than the sum of its proper divisors (12364).

13508 is a wasteful number, since it uses less digits than its factorization.

13508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 13508 is about 116.2239218061. The cubic root of 13508 is about 23.8157182613.

The spelling of 13508 in words is "thirteen thousand, five hundred eight".