312916716641 has 2 divisors, whose sum is σ = 312916716642. Its totient is φ = 312916716640.

The previous prime is 312916716583. The next prime is 312916716643. The reversal of 312916716641 is 146617619213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 308909193616 + 4007523025 = 555796^2 + 63305^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312916716641 is a prime.

Together with 312916716643, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (312916716643) 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, 156458358320 + 156458358321.

It is an arithmetic number, because the mean of its divisors is an integer number (156458358321).

Almost surely, 2^312916716641 is an apocalyptic number.

It is an amenable number.

312916716641 is a deficient number, since it is larger than the sum of its proper divisors (1).

312916716641 is an equidigital number, since it uses as much as digits as its factorization.

312916716641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 326592, while the sum is 47.

The spelling of 312916716641 in words is "three hundred twelve billion, nine hundred sixteen million, seven hundred sixteen thousand, six hundred forty-one".