516164311215 has 72 divisors (see below), whose sum is σ = 1041216422688. Its totient is φ = 235856396160.

The previous prime is 516164311211. The next prime is 516164311217. The reversal of 516164311215 is 512113461615.

516164311215 is a `hidden beast` number, since 5 + 1 + 6 + 1 + 6 + 431 + 1 + 215 = 666.

It is not a de Polignac number, because 516164311215 - 2² = 516164311211 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 516164311215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516164311211) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5045109 + ... + 5146401.

It is an arithmetic number, because the mean of its divisors is an integer number (14461339204).

Almost surely, 2^516164311215 is an apocalyptic number.

516164311215 is an abundant number, since it is smaller than the sum of its proper divisors (525052111473).

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

516164311215 is a wasteful number, since it uses less digits than its factorization.

516164311215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103629 (or 103619 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The spelling of 516164311215 in words is "five hundred sixteen billion, one hundred sixty-four million, three hundred eleven thousand, two hundred fifteen".