509231312 has 40 divisors (see below), whose sum is σ = 1053236160. Its totient is φ = 237807360.

The previous prime is 509231299. The next prime is 509231347. The reversal of 509231312 is 213132905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9788 + ... + 33380.

It is an arithmetic number, because the mean of its divisors is an integer number (26330904).

Almost surely, 2^509231312 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 509231312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526618080).

509231312 is an abundant number, since it is smaller than the sum of its proper divisors (544004848).

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

509231312 is a wasteful number, since it uses less digits than its factorization.

509231312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23691 (or 23685 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 509231312 is about 22566.1541251495. The cubic root of 509231312 is about 798.5553678678. Note that the first 3 decimals are identical.

The spelling of 509231312 in words is "five hundred nine million, two hundred thirty-one thousand, three hundred twelve".