509355664 has 10 divisors (see below), whose sum is σ = 986876630. Its totient is φ = 254677824.

The previous prime is 509355659. The next prime is 509355689. The reversal of 509355664 is 466553905.

It can be written as a sum of positive squares in only one way, i.e., 493195264 + 16160400 = 22208^2 + 4020^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 509355664.

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 as a sum of consecutive naturals, namely, 15917349 + ... + 15917380.

It is an arithmetic number, because the mean of its divisors is an integer number (98687663).

Almost surely, 2^509355664 is an apocalyptic number.

It is an amenable number.

509355664 is a deficient number, since it is larger than the sum of its proper divisors (477520966).

509355664 is a wasteful number, since it uses less digits than its factorization.

509355664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31834737 (or 31834731 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 43.

The square root of 509355664 is about 22568.9092337224. The cubic root of 509355664 is about 798.6203637893.

The spelling of 509355664 in words is "five hundred nine million, three hundred fifty-five thousand, six hundred sixty-four".