631312506961 has 2 divisors, whose sum is σ = 631312506962. Its totient is φ = 631312506960.

The previous prime is 631312506863. The next prime is 631312507009. The reversal of 631312506961 is 169605213136.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 567997366336 + 63315140625 = 753656^2 + 251625^2 .

It is a cyclic number.

It is not a de Polignac number, because 631312506961 - 2⁹ = 631312506449 is a prime.

It is not a weakly prime, because it can be changed into another prime (631312506061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 315656253480 + 315656253481.

It is an arithmetic number, because the mean of its divisors is an integer number (315656253481).

Almost surely, 2^631312506961 is an apocalyptic number.

It is an amenable number.

631312506961 is a deficient number, since it is larger than the sum of its proper divisors (1).

631312506961 is an equidigital number, since it uses as much as digits as its factorization.

631312506961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 174960, while the sum is 43.

The spelling of 631312506961 in words is "six hundred thirty-one billion, three hundred twelve million, five hundred six thousand, nine hundred sixty-one".