13512 has 16 divisors (see below), whose sum is σ = 33840. Its totient is φ = 4496.

The previous prime is 13499. The next prime is 13513. The reversal of 13512 is 21531.

It is a Harshad number since it is a multiple of its sum of digits (12).

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

13512 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 258 + ... + 305.

It is an arithmetic number, because the mean of its divisors is an integer number (2115).

2¹³⁵¹² is an apocalyptic number.

13512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13512 is an abundant number, since it is smaller than the sum of its proper divisors (20328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16920).

13512 is a wasteful number, since it uses less digits than its factorization.

13512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 568 counting only the distinct ones).

The product of its digits is 30, while the sum is 12.

The square root of 13512 is about 116.2411286938. The cubic root of 13512 is about 23.8180688059.

It can be divided in two parts, 13 and 512, that added together give a palindrome (525).

The spelling of 13512 in words is "thirteen thousand, five hundred twelve".