13057056 has 36 divisors (see below), whose sum is σ = 37131822. Its totient is φ = 4352256.

The previous prime is 13057049. The next prime is 13057067. The reversal of 13057056 is 65075031.

It can be written as a sum of positive squares in only one way, i.e., 10112400 + 2944656 = 3180^2 + 1716^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×13057056² = 340973422774272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22381 + ... + 22956.

Almost surely, 2^13057056 is an apocalyptic number.

13057056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13057056 is an abundant number, since it is smaller than the sum of its proper divisors (24074766).

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

13057056 is a wasteful number, since it uses less digits than its factorization.

13057056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45353 (or 45342 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 13057056 is about 3613.4548565051. The cubic root of 13057056 is about 235.4769609766.

The spelling of 13057056 in words is "thirteen million, fifty-seven thousand, fifty-six".