509078952 has 64 divisors (see below), whose sum is σ = 1416312000. Its totient is φ = 169428672.

The previous prime is 509078903. The next prime is 509079007. The reversal of 509078952 is 259870905.

It is a happy number.

It is a super-2 number, since 2×509078952² = 518322758738836608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 509078898 and 509078907.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177643 + ... + 180485.

It is an arithmetic number, because the mean of its divisors is an integer number (22129875).

Almost surely, 2^509078952 is an apocalyptic number.

It is an amenable number.

509078952 is an abundant number, since it is smaller than the sum of its proper divisors (907233048).

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

509078952 is a wasteful number, since it uses less digits than its factorization.

509078952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3687 (or 3677 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 509078952 is about 22562.7780204477. The cubic root of 509078952 is about 798.4757183848.

The spelling of 509078952 in words is "five hundred nine million, seventy-eight thousand, nine hundred fifty-two".