516289261215 has 256 divisors, whose sum is σ = 1074028032000. Its totient is φ = 210300862464.

The previous prime is 516289261199. The next prime is 516289261237. The reversal of 516289261215 is 512162982615.

It is not a de Polignac number, because 516289261215 - 2⁴ = 516289261199 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 255967887 + ... + 255969903.

It is an arithmetic number, because the mean of its divisors is an integer number (4195422000).

Almost surely, 2^516289261215 is an apocalyptic number.

516289261215 is an abundant number, since it is smaller than the sum of its proper divisors (557738770785).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

516289261215 is a wasteful number, since it uses less digits than its factorization.

516289261215 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2191 (or 2177 counting only the distinct ones).

The product of its digits is 518400, while the sum is 48.

The spelling of 516289261215 in words is "five hundred sixteen billion, two hundred eighty-nine million, two hundred sixty-one thousand, two hundred fifteen".