513652752 has 100 divisors (see below), whose sum is σ = 1492657936. Its totient is φ = 170527680.

The previous prime is 513652729. The next prime is 513652787. The reversal of 513652752 is 257256315.

513652752 is a `hidden beast` number, since 51 + 36 + 527 + 52 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 397227 + ... + 398517.

Almost surely, 2^513652752 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 513652752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746328968).

513652752 is an abundant number, since it is smaller than the sum of its proper divisors (979005184).

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

513652752 is a wasteful number, since it uses less digits than its factorization.

513652752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618 (or 1603 counting only the distinct ones).

The product of its digits is 63000, while the sum is 36.

The square root of 513652752 is about 22663.9085772953. The cubic root of 513652752 is about 800.8598837521.

The spelling of 513652752 in words is "five hundred thirteen million, six hundred fifty-two thousand, seven hundred fifty-two".