509713660872 has 128 divisors (see below), whose sum is σ = 1525289673600. Its totient is φ = 156783009024.

The previous prime is 509713660871. The next prime is 509713660879. The reversal of 509713660872 is 278066317905.

509713660872 is a `hidden beast` number, since 509 + 7 + 1 + 3 + 6 + 60 + 8 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (509713660871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8920618 + ... + 8977574.

It is an arithmetic number, because the mean of its divisors is an integer number (11916325575).

Almost surely, 2^509713660872 is an apocalyptic number.

509713660872 is a gapful number since it is divisible by the number (52) 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 509713660872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762644836800).

509713660872 is an abundant number, since it is smaller than the sum of its proper divisors (1015576012728).

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

509713660872 is a wasteful number, since it uses less digits than its factorization.

509713660872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60172 (or 60162 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 509713660872 in words is "five hundred nine billion, seven hundred thirteen million, six hundred sixty thousand, eight hundred seventy-two".