712365322657 has 2 divisors, whose sum is σ = 712365322658. Its totient is φ = 712365322656.

The previous prime is 712365322649. The next prime is 712365322693. The reversal of 712365322657 is 756223563217.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 551230517601 + 161134805056 = 742449^2 + 401416^2 .

It is an emirp because it is prime and its reverse (756223563217) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 712365322657 - 2³ = 712365322649 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 712365322657.

It is not a weakly prime, because it can be changed into another prime (712365322457) 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, 356182661328 + 356182661329.

It is an arithmetic number, because the mean of its divisors is an integer number (356182661329).

Almost surely, 2^712365322657 is an apocalyptic number.

It is an amenable number.

712365322657 is a deficient number, since it is larger than the sum of its proper divisors (1).

712365322657 is an equidigital number, since it uses as much as digits as its factorization.

712365322657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3175200, while the sum is 49.

The spelling of 712365322657 in words is "seven hundred twelve billion, three hundred sixty-five million, three hundred twenty-two thousand, six hundred fifty-seven".