509252752 has 40 divisors (see below), whose sum is σ = 1033308864. Its totient is φ = 242673024.

The previous prime is 509252743. The next prime is 509252753. The reversal of 509252752 is 257252905.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (509252753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105463 + ... + 110185.

Almost surely, 2^509252752 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 509252752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516654432).

509252752 is an abundant number, since it is smaller than the sum of its proper divisors (524056112).

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

509252752 is a wasteful number, since it uses less digits than its factorization.

509252752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5047 (or 5041 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 37.

The square root of 509252752 is about 22566.6291678664. The cubic root of 509252752 is about 798.5665748160.

The spelling of 509252752 in words is "five hundred nine million, two hundred fifty-two thousand, seven hundred fifty-two".