315561636346057 has 2 divisors, whose sum is σ = 315561636346058. Its totient is φ = 315561636346056.

The previous prime is 315561636345997. The next prime is 315561636346067. The reversal of 315561636346057 is 750643636165513.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 310505843622976 + 5055792723081 = 17621176^2 + 2248509^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-315561636346057 is a prime.

It is a super-2 number, since 2×315561636346057² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 315561636345986 and 315561636346004.

It is not a weakly prime, because it can be changed into another prime (315561636346067) 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, 157780818173028 + 157780818173029.

It is an arithmetic number, because the mean of its divisors is an integer number (157780818173029).

Almost surely, 2^{315561636346057} is an apocalyptic number.

It is an amenable number.

315561636346057 is a deficient number, since it is larger than the sum of its proper divisors (1).

315561636346057 is an equidigital number, since it uses as much as digits as its factorization.

315561636346057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 122472000, while the sum is 61.

The spelling of 315561636346057 in words is "three hundred fifteen trillion, five hundred sixty-one billion, six hundred thirty-six million, three hundred forty-six thousand, fifty-seven".