509147664336 has 90 divisors (see below), whose sum is σ = 1513654924262. Its totient is φ = 159732587520.

The previous prime is 509147664331. The next prime is 509147664341. The reversal of 509147664336 is 633466741905.

509147664336 is a `hidden beast` number, since 5 + 0 + 9 + 147 + 66 + 433 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (509147664331) and next prime (509147664341).

It can be written as a sum of positive squares in 3 ways, for example, as 159086108736 + 350061555600 = 398856^2 + 591660^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509147664331) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6075595 + ... + 6158826.

Almost surely, 2^509147664336 is an apocalyptic number.

It is an amenable number.

509147664336 is an abundant number, since it is smaller than the sum of its proper divisors (1004507259926).

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

509147664336 is a wasteful number, since it uses less digits than its factorization.

509147664336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12234469 (or 12234443 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 509147664336 in words is "five hundred nine billion, one hundred forty-seven million, six hundred sixty-four thousand, three hundred thirty-six".