515653164 has 144 divisors (see below), whose sum is σ = 1461267808. Its totient is φ = 152285184.

The previous prime is 515653157. The next prime is 515653189. The reversal of 515653164 is 461356515.

515653164 = 2175² + 2176² + ... + 2278².

515653164 is a `hidden beast` number, since 5 + 1 + 565 + 31 + 64 = 666.

It is a super-3 number, since 3×515653164³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1679499 + ... + 1679805.

Almost surely, 2^515653164 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 515653164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730633904).

515653164 is an abundant number, since it is smaller than the sum of its proper divisors (945614644).

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

515653164 is a wasteful number, since it uses less digits than its factorization.

515653164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 459 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 515653164 is about 22707.9977981327. The cubic root of 515653164 is about 801.8981821518.

The spelling of 515653164 in words is "five hundred fifteen million, six hundred fifty-three thousand, one hundred sixty-four".