13038252 has 24 divisors (see below), whose sum is σ = 32212656. Its totient is φ = 4090368.

The previous prime is 13038251. The next prime is 13038257. The reversal of 13038252 is 25283031.

It is not an unprimeable number, because it can be changed into a prime (13038251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31753 + ... + 32160.

It is an arithmetic number, because the mean of its divisors is an integer number (1342194).

Almost surely, 2^13038252 is an apocalyptic number.

13038252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13038252 is an abundant number, since it is smaller than the sum of its proper divisors (19174404).

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

13038252 is a wasteful number, since it uses less digits than its factorization.

13038252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63937 (or 63935 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 13038252 is about 3610.8519770270. The cubic root of 13038252 is about 235.3638666701.

The spelling of 13038252 in words is "thirteen million, thirty-eight thousand, two hundred fifty-two".