563313564 has 108 divisors (see below), whose sum is σ = 1657433232. Its totient is φ = 160638720.

The previous prime is 563313559. The next prime is 563313587. The reversal of 563313564 is 465313365.

563313564 is a `hidden beast` number, since 5 + 63 + 31 + 3 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70249 + ... + 77855.

It is an arithmetic number, because the mean of its divisors is an integer number (15346604).

Almost surely, 2^563313564 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 563313564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828716616).

563313564 is an abundant number, since it is smaller than the sum of its proper divisors (1094119668).

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

563313564 is a wasteful number, since it uses less digits than its factorization.

563313564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7656 (or 7640 counting only the distinct ones).

The product of its digits is 97200, while the sum is 36.

The square root of 563313564 is about 23734.2276891413. The cubic root of 563313564 is about 825.8795951968.

It can be divided in two parts, 56331 and 3564, that added together give a palindrome (59895).

The spelling of 563313564 in words is "five hundred sixty-three million, three hundred thirteen thousand, five hundred sixty-four".