312132631910657 has 2 divisors, whose sum is σ = 312132631910658. Its totient is φ = 312132631910656.

The previous prime is 312132631910623. The next prime is 312132631910677. The reversal of 312132631910657 is 756019136231213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 310605235008016 + 1527396902641 = 17623996^2 + 1235879^2 .

It is a cyclic number.

It is not a de Polignac number, because 312132631910657 - 2³⁶ = 312063912433921 is a prime.

It is not a weakly prime, because it can be changed into another prime (312132631910677) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156066315955328 + 156066315955329.

It is an arithmetic number, because the mean of its divisors is an integer number (156066315955329).

Almost surely, 2^{312132631910657} is an apocalyptic number.

It is an amenable number.

312132631910657 is a deficient number, since it is larger than the sum of its proper divisors (1).

312132631910657 is an equidigital number, since it uses as much as digits as its factorization.

312132631910657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1224720, while the sum is 50.

The spelling of 312132631910657 in words is "three hundred twelve trillion, one hundred thirty-two billion, six hundred thirty-one million, nine hundred ten thousand, six hundred fifty-seven".