516513133088772 has 48 divisors (see below), whose sum is σ = 1207719464952000. Its totient is φ = 171811036736640.

The previous prime is 516513133088731. The next prime is 516513133088929. The reversal of 516513133088772 is 277880331315615.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4990147 + ... + 32525802.

It is an arithmetic number, because the mean of its divisors is an integer number (25160822186500).

Almost surely, 2^{516513133088772} is an apocalyptic number.

It is an amenable number.

516513133088772 is an abundant number, since it is smaller than the sum of its proper divisors (691206331863228).

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

516513133088772 is a wasteful number, since it uses less digits than its factorization.

516513133088772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37518356 (or 37518354 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 60.

The spelling of 516513133088772 in words is "five hundred sixteen trillion, five hundred thirteen billion, one hundred thirty-three million, eighty-eight thousand, seven hundred seventy-two".