509122664 has 128 divisors (see below), whose sum is σ = 1116944640. Its totient is φ = 216133632.

The previous prime is 509122661. The next prime is 509122697. The reversal of 509122664 is 466221905.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (509122661) by changing a digit.

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 in 31 ways as a sum of consecutive naturals, for example, 6133967 + ... + 6134049.

It is an arithmetic number, because the mean of its divisors is an integer number (8726130).

Almost surely, 2^509122664 is an apocalyptic number.

It is an amenable number.

509122664 is an abundant number, since it is smaller than the sum of its proper divisors (607821976).

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

509122664 is a wasteful number, since it uses less digits than its factorization.

509122664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 509122664 is about 22563.7466746992. The cubic root of 509122664 is about 798.4985714031.

The spelling of 509122664 in words is "five hundred nine million, one hundred twenty-two thousand, six hundred sixty-four".