515601565164 has 144 divisors (see below), whose sum is σ = 1549788851520. Its totient is φ = 141412400640.

The previous prime is 515601565133. The next prime is 515601565223. The reversal of 515601565164 is 461565106515.

515601565164 is a `hidden beast` number, since 5 + 1 + 560 + 15 + 65 + 16 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1060374 + ... + 1468194.

It is an arithmetic number, because the mean of its divisors is an integer number (10762422580).

Almost surely, 2^515601565164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 515601565164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774894425760).

515601565164 is an abundant number, since it is smaller than the sum of its proper divisors (1034187286356).

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

515601565164 is a wasteful number, since it uses less digits than its factorization.

515601565164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408040 (or 408035 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 515601565164 in words is "five hundred fifteen billion, six hundred one million, five hundred sixty-five thousand, one hundred sixty-four".