509661504 has 112 divisors (see below), whose sum is σ = 1634581440. Its totient is φ = 154437120.

The previous prime is 509661463. The next prime is 509661517. The reversal of 509661504 is 405166905.

509661504 is a `hidden beast` number, since 5 + 0 + 96 + 61 + 504 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5602 + ... + 32414.

Almost surely, 2^509661504 is an apocalyptic number.

509661504 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509661504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817290720).

509661504 is an abundant number, since it is smaller than the sum of its proper divisors (1124919936).

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

509661504 is a wasteful number, since it uses less digits than its factorization.

509661504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26845 (or 26829 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 509661504 is about 22575.6839099063. The cubic root of 509661504 is about 798.7801743103.

The spelling of 509661504 in words is "five hundred nine million, six hundred sixty-one thousand, five hundred four".