13515952 has 60 divisors (see below), whose sum is σ = 28931680. Its totient is φ = 6110208.

The previous prime is 13515949. The next prime is 13515959. The reversal of 13515952 is 25951531.

13515952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (6750) is a multiple of the sum of its prime divisors (135).

It is not an unprimeable number, because it can be changed into a prime (13515959) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171049 + ... + 171127.

Almost surely, 2^13515952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13515952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14465840).

13515952 is an abundant number, since it is smaller than the sum of its proper divisors (15415728).

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

13515952 is a wasteful number, since it uses less digits than its factorization.

13515952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 135 counting only the distinct ones).

The product of its digits is 6750, while the sum is 31.

The square root of 13515952 is about 3676.4047655284. The cubic root of 13515952 is about 238.2039068852.

The spelling of 13515952 in words is "thirteen million, five hundred fifteen thousand, nine hundred fifty-two".