509375312 has 40 divisors (see below), whose sum is σ = 1009864680. Its totient is φ = 248832000.

The previous prime is 509375309. The next prime is 509375323. The reversal of 509375312 is 213573905.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 27836176 + 481539136 = 5276^2 + 21944^2 .

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, 125312 + ... + 129312.

It is an arithmetic number, because the mean of its divisors is an integer number (25246617).

Almost surely, 2^509375312 is an apocalyptic number.

It is an amenable number.

509375312 is a deficient number, since it is larger than the sum of its proper divisors (500489368).

509375312 is a wasteful number, since it uses less digits than its factorization.

509375312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4191 (or 4185 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 35.

The square root of 509375312 is about 22569.3445186164. The cubic root of 509375312 is about 798.6306323778.

The spelling of 509375312 in words is "five hundred nine million, three hundred seventy-five thousand, three hundred twelve".