312641514503057 has 2 divisors, whose sum is σ = 312641514503058. Its totient is φ = 312641514503056.

The previous prime is 312641514503009. The next prime is 312641514503063. The reversal of 312641514503057 is 750305415146213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 312555562336081 + 85952166976 = 17679241^2 + 293176^2 .

It is a cyclic number.

It is not a de Polignac number, because 312641514503057 - 2⁴⁶ = 242272770325393 is a prime.

It is not a weakly prime, because it can be changed into another prime (312641514509057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156320757251528 + 156320757251529.

It is an arithmetic number, because the mean of its divisors is an integer number (156320757251529).

Almost surely, 2^{312641514503057} is an apocalyptic number.

It is an amenable number.

312641514503057 is a deficient number, since it is larger than the sum of its proper divisors (1).

312641514503057 is an equidigital number, since it uses as much as digits as its factorization.

312641514503057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1512000, while the sum is 47.

The spelling of 312641514503057 in words is "three hundred twelve trillion, six hundred forty-one billion, five hundred fourteen million, five hundred three thousand, fifty-seven".