256507133064361 has 2 divisors, whose sum is σ = 256507133064362. Its totient is φ = 256507133064360.

The previous prime is 256507133064319. The next prime is 256507133064517. The reversal of 256507133064361 is 163460331705652.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 216477077185600 + 40030055878761 = 14713160^2 + 6326931^2 .

It is a cyclic number.

It is not a de Polignac number, because 256507133064361 - 2²⁵ = 256507099509929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 256507133064299 and 256507133064308.

It is not a weakly prime, because it can be changed into another prime (256507133064661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128253566532180 + 128253566532181.

It is an arithmetic number, because the mean of its divisors is an integer number (128253566532181).

Almost surely, 2^{256507133064361} is an apocalyptic number.

It is an amenable number.

256507133064361 is a deficient number, since it is larger than the sum of its proper divisors (1).

256507133064361 is an equidigital number, since it uses as much as digits as its factorization.

256507133064361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8164800, while the sum is 52.

The spelling of 256507133064361 in words is "two hundred fifty-six trillion, five hundred seven billion, one hundred thirty-three million, sixty-four thousand, three hundred sixty-one".