509506560 has 132 divisors (see below), whose sum is σ = 1765586628. Its totient is φ = 135856128.

The previous prime is 509506559. The next prime is 509506589. The reversal of 509506560 is 65605905.

509506560 is a `hidden beast` number, since 5 + 0 + 95 + 0 + 6 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 137170944 + 372335616 = 11712^2 + 19296^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40552 + ... + 51608.

Almost surely, 2^509506560 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 509506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882793314).

509506560 is an abundant number, since it is smaller than the sum of its proper divisors (1256080068).

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

509506560 is a wasteful number, since it uses less digits than its factorization.

509506560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11088 (or 11067 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 509506560 is about 22572.2519922138. The cubic root of 509506560 is about 798.6992194421.

The spelling of 509506560 in words is "five hundred nine million, five hundred six thousand, five hundred sixty".