312916716689 has 2 divisors, whose sum is σ = 312916716690. Its totient is φ = 312916716688.

The previous prime is 312916716667. The next prime is 312916716691. The reversal of 312916716689 is 986617619213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 186703496464 + 126213220225 = 432092^2 + 355265^2 .

It is a cyclic number.

It is not a de Polignac number, because 312916716689 - 2⁸ = 312916716433 is a prime.

It is a super-2 number, since 2×312916716689² (a number of 24 digits) contains 22 as substring.

Together with 312916716691, 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 (312916716289) 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, 156458358344 + 156458358345.

It is an arithmetic number, because the mean of its divisors is an integer number (156458358345).

Almost surely, 2^312916716689 is an apocalyptic number.

It is an amenable number.

312916716689 is a deficient number, since it is larger than the sum of its proper divisors (1).

312916716689 is an equidigital number, since it uses as much as digits as its factorization.

312916716689 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5878656, while the sum is 59.

The spelling of 312916716689 in words is "three hundred twelve billion, nine hundred sixteen million, seven hundred sixteen thousand, six hundred eighty-nine".