2256315300961 has 2 divisors, whose sum is σ = 2256315300962. Its totient is φ = 2256315300960.

The previous prime is 2256315300947. The next prime is 2256315300971. The reversal of 2256315300961 is 1690035136522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2102224509025 + 154090791936 = 1449905^2 + 392544^2 .

It is a cyclic number.

It is not a de Polignac number, because 2256315300961 - 2²⁹ = 2255778430049 is a prime.

It is not a weakly prime, because it can be changed into another prime (2256315300971) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1128157650480 + 1128157650481.

It is an arithmetic number, because the mean of its divisors is an integer number (1128157650481).

Almost surely, 2^{2256315300961} is an apocalyptic number.

It is an amenable number.

2256315300961 is a deficient number, since it is larger than the sum of its proper divisors (1).

2256315300961 is an equidigital number, since it uses as much as digits as its factorization.

2256315300961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 291600, while the sum is 43.

The spelling of 2256315300961 in words is "two trillion, two hundred fifty-six billion, three hundred fifteen million, three hundred thousand, nine hundred sixty-one".