563512320 has 264 divisors, whose sum is σ = 2232769344. Its totient is φ = 128729088.

The previous prime is 563512309. The next prime is 563512321. The reversal of 563512320 is 23215365.

563512320 is a `hidden beast` number, since 5 + 635 + 1 + 2 + 3 + 20 = 666.

It is a super-2 number, since 2×563512320² = 635092269583564800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (563512321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321687 + ... + 323433.

Almost surely, 2^563512320 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 563512320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116384672).

563512320 is an abundant number, since it is smaller than the sum of its proper divisors (1669257024).

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

563512320 is a wasteful number, since it uses less digits than its factorization.

563512320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 563512320 is about 23738.4144373629. The cubic root of 563512320 is about 825.9767164885.

Adding to 563512320 its reverse (23215365), we get a palindrome (586727685).

It can be divided in two parts, 5635 and 12320, that added together give a triangular number (17955 = T₁₈₉).

The spelling of 563512320 in words is "five hundred sixty-three million, five hundred twelve thousand, three hundred twenty".