312775662516001 has 2 divisors, whose sum is σ = 312775662516002. Its totient is φ = 312775662516000.

The previous prime is 312775662515989. The next prime is 312775662516011. The reversal of 312775662516001 is 100615266577213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 208530235211776 + 104245427304225 = 14440576^2 + 10210065^2 .

It is a cyclic number.

It is not a de Polignac number, because 312775662516001 - 2⁹ = 312775662515489 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312775662516001.

It is not a weakly prime, because it can be changed into another prime (312775662516011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156387831258000 + 156387831258001.

It is an arithmetic number, because the mean of its divisors is an integer number (156387831258001).

Almost surely, 2^{312775662516001} is an apocalyptic number.

It is an amenable number.

312775662516001 is a deficient number, since it is larger than the sum of its proper divisors (1).

312775662516001 is an equidigital number, since it uses as much as digits as its factorization.

312775662516001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3175200, while the sum is 52.

The spelling of 312775662516001 in words is "three hundred twelve trillion, seven hundred seventy-five billion, six hundred sixty-two million, five hundred sixteen thousand, one".