509031160 has 128 divisors (see below), whose sum is σ = 1311344640. Its totient is φ = 176140800.

The previous prime is 509031151. The next prime is 509031161. The reversal of 509031160 is 61130905.

It is a super-2 number, since 2×509031160² = 518225443701891200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509031161) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 913602 + ... + 914158.

It is an arithmetic number, because the mean of its divisors is an integer number (10244880).

Almost surely, 2^509031160 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 509031160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655672320).

509031160 is an abundant number, since it is smaller than the sum of its proper divisors (802313480).

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

509031160 is a wasteful number, since it uses less digits than its factorization.

509031160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 25.

The square root of 509031160 is about 22561.7189061472. The cubic root of 509031160 is about 798.4507308097.

The spelling of 509031160 in words is "five hundred nine million, thirty-one thousand, one hundred sixty".