312401165517653 has 2 divisors, whose sum is σ = 312401165517654. Its totient is φ = 312401165517652.

The previous prime is 312401165517631. The next prime is 312401165517731. The reversal of 312401165517653 is 356715561104213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 309313895131684 + 3087270385969 = 17587322^2 + 1757063^2 .

It is an emirp because it is prime and its reverse (356715561104213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312401165517653 - 2³⁰ = 312400091775829 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312401165217653) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156200582758826 + 156200582758827.

It is an arithmetic number, because the mean of its divisors is an integer number (156200582758827).

Almost surely, 2^{312401165517653} is an apocalyptic number.

It is an amenable number.

312401165517653 is a deficient number, since it is larger than the sum of its proper divisors (1).

312401165517653 is an equidigital number, since it uses as much as digits as its factorization.

312401165517653 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268000, while the sum is 50.

The spelling of 312401165517653 in words is "three hundred twelve trillion, four hundred one billion, one hundred sixty-five million, five hundred seventeen thousand, six hundred fifty-three".