256164757 has 2 divisors, whose sum is σ = 256164758. Its totient is φ = 256164756.

The previous prime is 256164739. The next prime is 256164763. The reversal of 256164757 is 757461652.

256164757 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 228191236 + 27973521 = 15106^2 + 5289^2 .

It is a cyclic number.

It is not a de Polignac number, because 256164757 - 2²⁷ = 121947029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (256164737) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128082378 + 128082379.

It is an arithmetic number, because the mean of its divisors is an integer number (128082379).

Almost surely, 2^256164757 is an apocalyptic number.

It is an amenable number.

256164757 is a deficient number, since it is larger than the sum of its proper divisors (1).

256164757 is an equidigital number, since it uses as much as digits as its factorization.

256164757 is an evil number, because the sum of its binary digits is even.

The product of its digits is 352800, while the sum is 43.

The square root of 256164757 is about 16005.1478281208. The cubic root of 256164757 is about 635.0966079480.

The spelling of 256164757 in words is "two hundred fifty-six million, one hundred sixty-four thousand, seven hundred fifty-seven".