509375560 has 32 divisors (see below), whose sum is σ = 1206417600. Its totient is φ = 193026240.

The previous prime is 509375521. The next prime is 509375561. The reversal of 509375560 is 65573905.

It is a super-2 number, since 2×509375560² = 518926922250627200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (509375561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 334356 + ... + 335875.

It is an arithmetic number, because the mean of its divisors is an integer number (37700550).

Almost surely, 2^509375560 is an apocalyptic number.

It is an amenable number.

509375560 is an abundant number, since it is smaller than the sum of its proper divisors (697042040).

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

509375560 is a wasteful number, since it uses less digits than its factorization.

509375560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670261 (or 670257 counting only the distinct ones).

The product of its (nonzero) digits is 141750, while the sum is 40.

The square root of 509375560 is about 22569.3500127939. The cubic root of 509375560 is about 798.6307619878.

The spelling of 509375560 in words is "five hundred nine million, three hundred seventy-five thousand, five hundred sixty".