509221093120 has 72 divisors (see below), whose sum is σ = 1227821888160. Its totient is φ = 202339430400.

The previous prime is 509221093111. The next prime is 509221093123. The reversal of 509221093120 is 21390122905.

It is a super-2 number, since 2×509221093120² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509221093123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1124035 + ... + 1510594.

It is an arithmetic number, because the mean of its divisors is an integer number (17053081780).

Almost surely, 2^509221093120 is an apocalyptic number.

It is an amenable number.

509221093120 is an abundant number, since it is smaller than the sum of its proper divisors (718600795040).

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

509221093120 is a wasteful number, since it uses less digits than its factorization.

509221093120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634801 (or 2634787 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The spelling of 509221093120 in words is "five hundred nine billion, two hundred twenty-one million, ninety-three thousand, one hundred twenty".