315122634122561 has 2 divisors, whose sum is σ = 315122634122562. Its totient is φ = 315122634122560.

The previous prime is 315122634122539. The next prime is 315122634122579. The reversal of 315122634122561 is 165221436221513.

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., 235611171836161 + 79511462286400 = 15349631^2 + 8916920^2 .

It is a cyclic number.

It is not a de Polignac number, because 315122634122561 - 2⁶ = 315122634122497 is a prime.

It is a super-3 number, since 3×315122634122561³ (a number of 44 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (315122634122581) 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, 157561317061280 + 157561317061281.

It is an arithmetic number, because the mean of its divisors is an integer number (157561317061281).

Almost surely, 2^{315122634122561} is an apocalyptic number.

It is an amenable number.

315122634122561 is a deficient number, since it is larger than the sum of its proper divisors (1).

315122634122561 is an equidigital number, since it uses as much as digits as its factorization.

315122634122561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 518400, while the sum is 44.

The spelling of 315122634122561 in words is "three hundred fifteen trillion, one hundred twenty-two billion, six hundred thirty-four million, one hundred twenty-two thousand, five hundred sixty-one".