501306564 has 96 divisors (see below), whose sum is σ = 1353945600. Its totient is φ = 142767360.

The previous prime is 501306521. The next prime is 501306593. The reversal of 501306564 is 465603105.

It is a super-2 number, since 2×501306564² = 502616542218972192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 342867 + ... + 344325.

It is an arithmetic number, because the mean of its divisors is an integer number (14103600).

Almost surely, 2^501306564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501306564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676972800).

501306564 is an abundant number, since it is smaller than the sum of its proper divisors (852639036).

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

501306564 is a wasteful number, since it uses less digits than its factorization.

501306564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 501306564 is about 22389.8763730397. The cubic root of 501306564 is about 794.3912716867.

Adding to 501306564 its reverse (465603105), we get a palindrome (966909669).

The spelling of 501306564 in words is "five hundred one million, three hundred six thousand, five hundred sixty-four".