509680512 has 320 divisors, whose sum is σ = 1710601200. Its totient is φ = 149299200.

The previous prime is 509680463. The next prime is 509680543. The reversal of 509680512 is 215086905.

It is a happy number.

509680512 is a `hidden beast` number, since 50 + 96 + 8 + 0 + 512 = 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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4675914 + ... + 4676022.

Almost surely, 2^509680512 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 509680512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855300600).

509680512 is an abundant number, since it is smaller than the sum of its proper divisors (1200920688).

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

509680512 is a wasteful number, since it uses less digits than its factorization.

509680512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 509680512 is about 22576.1048899052. The cubic root of 509680512 is about 798.7901044467.

The spelling of 509680512 in words is "five hundred nine million, six hundred eighty thousand, five hundred twelve".