509935752 has 48 divisors (see below), whose sum is σ = 1384007040. Its totient is φ = 169617888.

The previous prime is 509935729. The next prime is 509935793. The reversal of 509935752 is 257539905.

509935752 is a `hidden beast` number, since 509 + 93 + 5 + 7 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 509935698 and 509935707.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27793 + ... + 42335.

It is an arithmetic number, because the mean of its divisors is an integer number (28833480).

Almost surely, 2^509935752 is an apocalyptic number.

It is an amenable number.

509935752 is an abundant number, since it is smaller than the sum of its proper divisors (874071288).

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

509935752 is a wasteful number, since it uses less digits than its factorization.

509935752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15042 (or 15035 counting only the distinct ones).

The product of its (nonzero) digits is 425250, while the sum is 45.

The square root of 509935752 is about 22581.7570618409. The cubic root of 509935752 is about 798.9234227099.

The spelling of 509935752 in words is "five hundred nine million, nine hundred thirty-five thousand, seven hundred fifty-two".