13516 has 12 divisors (see below), whose sum is σ = 24640. Its totient is φ = 6480.

The previous prime is 13513. The next prime is 13523. The reversal of 13516 is 61531.

13516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 13516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70 + ... + 178.

2¹³⁵¹⁶ is an apocalyptic number.

It is an amenable number.

13516 is a deficient number, since it is larger than the sum of its proper divisors (11124).

13516 is a wasteful number, since it uses less digits than its factorization.

13516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 142 counting only the distinct ones).

The product of its digits is 90, while the sum is 16.

The square root of 13516 is about 116.2583330347. The cubic root of 13516 is about 23.8204188867.

It can be divided in two parts, 135 and 16, that added together give a palindrome (151).

The spelling of 13516 in words is "thirteen thousand, five hundred sixteen".