509977824321 has 16 divisors (see below), whose sum is σ = 783041200128. Its totient is φ = 289191349200.

The previous prime is 509977824319. The next prime is 509977824331. The reversal of 509977824321 is 123428779905.

It is a happy number.

It is not a de Polignac number, because 509977824321 - 2¹ = 509977824319 is a prime.

It is a super-2 number, since 2×509977824321² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (509977824331) by changing a digit.

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, 92686785 + ... + 92692286.

It is an arithmetic number, because the mean of its divisors is an integer number (48940075008).

Almost surely, 2^509977824321 is an apocalyptic number.

It is an amenable number.

509977824321 is a deficient number, since it is larger than the sum of its proper divisors (273063375807).

509977824321 is a wasteful number, since it uses less digits than its factorization.

509977824321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185379212.

The product of its (nonzero) digits is 7620480, while the sum is 57.

The spelling of 509977824321 in words is "five hundred nine billion, nine hundred seventy-seven million, eight hundred twenty-four thousand, three hundred twenty-one".