509309112 has 64 divisors (see below), whose sum is σ = 1374579360. Its totient is φ = 156326400.

The previous prime is 509309083. The next prime is 509309113. The reversal of 509309112 is 211903905.

It is a self number, because there is not a number n which added to its sum of digits gives 509309112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509309113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142062 + ... + 145602.

Almost surely, 2^509309112 is an apocalyptic number.

509309112 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509309112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687289680).

509309112 is an abundant number, since it is smaller than the sum of its proper divisors (865270248).

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

509309112 is a wasteful number, since it uses less digits than its factorization.

509309112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4024 (or 4020 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 509309112 is about 22567.8778798539. The cubic root of 509309112 is about 798.5960333718.

The spelling of 509309112 in words is "five hundred nine million, three hundred nine thousand, one hundred twelve".