256357013 has 24 divisors (see below), whose sum is σ = 298452000. Its totient is φ = 219653280.

The previous prime is 256356977. The next prime is 256357021. The reversal of 256357013 is 310753652.

It is not a de Polignac number, because 256357013 - 2¹⁰ = 256355989 is a prime.

It is a super-2 number, since 2×256357013² = 131437836228564338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256357043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150038 + ... + 151736.

It is an arithmetic number, because the mean of its divisors is an integer number (12435500).

Almost surely, 2^256357013 is an apocalyptic number.

It is an amenable number.

256357013 is a deficient number, since it is larger than the sum of its proper divisors (42094987).

256357013 is a wasteful number, since it uses less digits than its factorization.

256357013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 32.

The square root of 256357013 is about 16011.1527692418. The cubic root of 256357013 is about 635.2554518126.

The spelling of 256357013 in words is "two hundred fifty-six million, three hundred fifty-seven thousand, thirteen".