256631147347277 has 2 divisors, whose sum is σ = 256631147347278. Its totient is φ = 256631147347276.

The previous prime is 256631147347271. The next prime is 256631147347279. The reversal of 256631147347277 is 772743741136652.

256631147347277 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., 199240310793001 + 57390836554276 = 14115251^2 + 7575674^2 .

It is a cyclic number.

It is not a de Polignac number, because 256631147347277 - 2⁴ = 256631147347261 is a prime.

Together with 256631147347279, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (256631147347271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128315573673638 + 128315573673639.

It is an arithmetic number, because the mean of its divisors is an integer number (128315573673639).

Almost surely, 2^{256631147347277} is an apocalyptic number.

It is an amenable number.

256631147347277 is a deficient number, since it is larger than the sum of its proper divisors (1).

256631147347277 is an equidigital number, since it uses as much as digits as its factorization.

256631147347277 is an evil number, because the sum of its binary digits is even.

The product of its digits is 248935680, while the sum is 65.

The spelling of 256631147347277 in words is "two hundred fifty-six trillion, six hundred thirty-one billion, one hundred forty-seven million, three hundred forty-seven thousand, two hundred seventy-seven".