256624133 has 16 divisors (see below), whose sum is σ = 275018112. Its totient is φ = 238920000.

The previous prime is 256624111. The next prime is 256624177. The reversal of 256624133 is 331426652.

256624133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 256624133 - 2²⁴ = 239846917 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 256624133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256624733) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140798 + ... + 142608.

It is an arithmetic number, because the mean of its divisors is an integer number (17188632).

Almost surely, 2^256624133 is an apocalyptic number.

256624133 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

256624133 is a deficient number, since it is larger than the sum of its proper divisors (18393979).

256624133 is a wasteful number, since it uses less digits than its factorization.

256624133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996.

The product of its digits is 25920, while the sum is 32.

The square root of 256624133 is about 16019.4922828409. The cubic root of 256624133 is about 635.4760173050.

The spelling of 256624133 in words is "two hundred fifty-six million, six hundred twenty-four thousand, one hundred thirty-three".