256374256257 has 24 divisors (see below), whose sum is σ = 423431031296. Its totient is φ = 146426870016.

The previous prime is 256374256219. The next prime is 256374256289. The reversal of 256374256257 is 752652473652.

256374256257 is a `hidden beast` number, since 2 + 5 + 6 + 3 + 7 + 4 + 2 + 5 + 625 + 7 = 666.

It is not a de Polignac number, because 256374256257 - 2¹⁰ = 256374255233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (256374256057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 881713 + ... + 1135854.

Almost surely, 2^256374256257 is an apocalyptic number.

It is an amenable number.

256374256257 is a deficient number, since it is larger than the sum of its proper divisors (167056775039).

256374256257 is a wasteful number, since it uses less digits than its factorization.

256374256257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019597 (or 2019594 counting only the distinct ones).

The product of its digits is 21168000, while the sum is 54.

The spelling of 256374256257 in words is "two hundred fifty-six billion, three hundred seventy-four million, two hundred fifty-six thousand, two hundred fifty-seven".