500120524864 has 63 divisors (see below), whose sum is σ = 1002851588781. Its totient is φ = 247460624640.

The previous prime is 500120524861. The next prime is 500120524873. The reversal of 500120524864 is 468425021005.

The square root of 500120524864 is 707192.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 348581606464 + 151538918400 = 590408^2 + 389280^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (500120524861) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 616671019 + ... + 616671829.

It is an arithmetic number, because the mean of its divisors is an integer number (15918279187).

Almost surely, 2^500120524864 is an apocalyptic number.

500120524864 is the 707192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 500120524864

500120524864 is an abundant number, since it is smaller than the sum of its proper divisors (502731063917).

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

500120524864 is an frugal number, since it uses more digits than its factorization.

500120524864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

Adding to 500120524864 its reverse (468425021005), we get a palindrome (968545545869).

The spelling of 500120524864 in words is "five hundred billion, one hundred twenty million, five hundred twenty-four thousand, eight hundred sixty-four".