315516563512417 has 2 divisors, whose sum is σ = 315516563512418. Its totient is φ = 315516563512416.

The previous prime is 315516563512387. The next prime is 315516563512459. The reversal of 315516563512417 is 714215365615513.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 294037750805841 + 21478812706576 = 17147529^2 + 4634524^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-315516563512417 is a prime.

It is a super-2 number, since 2×315516563512417² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (315516563512487) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157758281756208 + 157758281756209.

It is an arithmetic number, because the mean of its divisors is an integer number (157758281756209).

Almost surely, 2^{315516563512417} is an apocalyptic number.

It is an amenable number.

315516563512417 is a deficient number, since it is larger than the sum of its proper divisors (1).

315516563512417 is an equidigital number, since it uses as much as digits as its factorization.

315516563512417 is an evil number, because the sum of its binary digits is even.

The product of its digits is 11340000, while the sum is 55.

The spelling of 315516563512417 in words is "three hundred fifteen trillion, five hundred sixteen billion, five hundred sixty-three million, five hundred twelve thousand, four hundred seventeen".