256753056251569 has 2 divisors, whose sum is σ = 256753056251570. Its totient is φ = 256753056251568.

The previous prime is 256753056251561. The next prime is 256753056251603. The reversal of 256753056251569 is 965152650357652.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 175364150555169 + 81388905696400 = 13242513^2 + 9021580^2 .

It is a cyclic number.

It is not a de Polignac number, because 256753056251569 - 2³ = 256753056251561 is a prime.

It is a super-2 number, since 2×256753056251569² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (256753056251561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128376528125784 + 128376528125785.

It is an arithmetic number, because the mean of its divisors is an integer number (128376528125785).

Almost surely, 2^{256753056251569} is an apocalyptic number.

It is an amenable number.

256753056251569 is a deficient number, since it is larger than the sum of its proper divisors (1).

256753056251569 is an equidigital number, since it uses as much as digits as its factorization.

256753056251569 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 510300000, while the sum is 67.

The spelling of 256753056251569 in words is "two hundred fifty-six trillion, seven hundred fifty-three billion, fifty-six million, two hundred fifty-one thousand, five hundred sixty-nine".