256624129 has 8 divisors (see below), whose sum is σ = 278039520. Its totient is φ = 235910976.

The previous prime is 256624111. The next prime is 256624177. The reversal of 256624129 is 921426652.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 256624129 - 2⁷ = 256624001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (256624189) 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, 174799 + ... + 176260.

It is an arithmetic number, because the mean of its divisors is an integer number (34754940).

Almost surely, 2^256624129 is an apocalyptic number.

It is an amenable number.

256624129 is a deficient number, since it is larger than the sum of its proper divisors (21415391).

256624129 is a wasteful number, since it uses less digits than its factorization.

256624129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351119.

The product of its digits is 51840, while the sum is 37.

The square root of 256624129 is about 16019.4921579930. The cubic root of 256624129 is about 635.4760140033.

It can be divided in two parts, 25662 and 4129, that added together give a cube (29791 = 31³).

The spelling of 256624129 in words is "two hundred fifty-six million, six hundred twenty-four thousand, one hundred twenty-nine".