312416632513 has 2 divisors, whose sum is σ = 312416632514. Its totient is φ = 312416632512.

The previous prime is 312416632469. The next prime is 312416632579. The reversal of 312416632513 is 315236614213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 305419811904 + 6996820609 = 552648^2 + 83647^2 .

It is a cyclic number.

It is not a de Polignac number, because 312416632513 - 2¹³ = 312416624321 is a prime.

It is not a weakly prime, because it can be changed into another prime (312416662513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156208316256 + 156208316257.

It is an arithmetic number, because the mean of its divisors is an integer number (156208316257).

Almost surely, 2^312416632513 is an apocalyptic number.

It is an amenable number.

312416632513 is a deficient number, since it is larger than the sum of its proper divisors (1).

312416632513 is an equidigital number, since it uses as much as digits as its factorization.

312416632513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 77760, while the sum is 37.

The spelling of 312416632513 in words is "three hundred twelve billion, four hundred sixteen million, six hundred thirty-two thousand, five hundred thirteen".