509875056 has 120 divisors (see below), whose sum is σ = 1455442560. Its totient is φ = 166608000.

The previous prime is 509875043. The next prime is 509875061. The reversal of 509875056 is 650578905.

509875056 is a `hidden beast` number, since 50 + 98 + 7 + 505 + 6 = 666.

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 23 ways as a sum of consecutive naturals, for example, 2848375 + ... + 2848553.

It is an arithmetic number, because the mean of its divisors is an integer number (12128688).

Almost surely, 2^509875056 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 509875056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727721280).

509875056 is an abundant number, since it is smaller than the sum of its proper divisors (945567504).

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

509875056 is a wasteful number, since it uses less digits than its factorization.

509875056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 509875056 is about 22580.4131051671. The cubic root of 509875056 is about 798.8917236969.

The spelling of 509875056 in words is "five hundred nine million, eight hundred seventy-five thousand, fifty-six".