509977824322 has 32 divisors (see below), whose sum is σ = 804455654400. Its totient is φ = 242118676800.

The previous prime is 509977824319. The next prime is 509977824331. The reversal of 509977824322 is 223428779905.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33387547 + ... + 33402817.

It is an arithmetic number, because the mean of its divisors is an integer number (25139239200).

Almost surely, 2^509977824322 is an apocalyptic number.

509977824322 is a deficient number, since it is larger than the sum of its proper divisors (294477830078).

509977824322 is a wasteful number, since it uses less digits than its factorization.

509977824322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24802.

The product of its (nonzero) digits is 15240960, while the sum is 58.

The spelling of 509977824322 in words is "five hundred nine billion, nine hundred seventy-seven million, eight hundred twenty-four thousand, three hundred twenty-two".