256031606122361 has 2 divisors, whose sum is σ = 256031606122362. Its totient is φ = 256031606122360.

The previous prime is 256031606122301. The next prime is 256031606122363. The reversal of 256031606122361 is 163221606130652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 256031392962361 + 213160000 = 16000981^2 + 14600^2 .

It is a cyclic number.

It is not a de Polignac number, because 256031606122361 - 2²² = 256031601928057 is a prime.

It is a Sophie Germain prime.

Together with 256031606122363, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (256031606122363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128015803061180 + 128015803061181.

It is an arithmetic number, because the mean of its divisors is an integer number (128015803061181).

Almost surely, 2^{256031606122361} is an apocalyptic number.

It is an amenable number.

256031606122361 is a deficient number, since it is larger than the sum of its proper divisors (1).

256031606122361 is an equidigital number, since it uses as much as digits as its factorization.

256031606122361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 466560, while the sum is 44.

The spelling of 256031606122361 in words is "two hundred fifty-six trillion, thirty-one billion, six hundred six million, one hundred twenty-two thousand, three hundred sixty-one".