316113500535561 has 91 divisors (see below), whose sum is σ = 491104594555771. Its totient is φ = 203475356666568.

The previous prime is 316113500535449. The next prime is 316113500535583. The reversal of 316113500535561 is 165535005311613.

It is a happy number.

The square root of 316113500535561 is 17779581.

The cubic root of 316113500535561 is 68121.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

316113500535561 is a `hidden beast` number, since 3 + 1 + 6 + 1 + 1 + 3 + 50 + 0 + 5 + 35 + 561 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 135013500659961 + 181099999875600 = 11619531^2 + 13457340^2 .

It is a de Polignac number, because none of the positive numbers 2^k-316113500535561 is a prime.

It is a super-2 number, since 2×316113500535561² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (316113580535561) 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 in 90 ways as a sum of consecutive naturals, for example, 10900465535695 + ... + 10900465535723.

Almost surely, 2^{316113500535561} is an apocalyptic number.

316113500535561 is the 17779581-st square number.

316113500535561 is the 8889791-st centered octagonal number.

It is an amenable number.

316113500535561 is a deficient number, since it is larger than the sum of its proper divisors (174991094020210).

316113500535561 is an frugal number, since it uses more digits than its factorization.

316113500535561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 607500, while the sum is 45.

The spelling of 316113500535561 in words is "three hundred sixteen trillion, one hundred thirteen billion, five hundred million, five hundred thirty-five thousand, five hundred sixty-one".