501564 has 36 divisors (see below), whose sum is σ = 1362984. Its totient is φ = 143136.

The previous prime is 501563. The next prime is 501577. The reversal of 501564 is 465105.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 501564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162 + ... + 1014.

2⁵⁰¹⁵⁶⁴ 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 501564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681492).

501564 is an abundant number, since it is smaller than the sum of its proper divisors (861420).

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

501564 is a wasteful number, since it uses less digits than its factorization.

501564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 501564 is about 708.2118327167. The cubic root of 501564 is about 79.4527229688.

Adding to 501564 its reverse (465105), we get a palindrome (966669).

The spelling of 501564 in words is "five hundred one thousand, five hundred sixty-four".