563134752 has 144 divisors (see below), whose sum is σ = 1655821440. Its totient is φ = 181449216.

The previous prime is 563134727. The next prime is 563134753. The reversal of 563134752 is 257431365.

563134752 is a `hidden beast` number, since 563 + 1 + 3 + 47 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (563134753) 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, 1205623 + ... + 1206089.

It is an arithmetic number, because the mean of its divisors is an integer number (11498760).

Almost surely, 2^563134752 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 563134752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827910720).

563134752 is an abundant number, since it is smaller than the sum of its proper divisors (1092686688).

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

563134752 is a wasteful number, since it uses less digits than its factorization.

563134752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 604 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 563134752 is about 23730.4604253689. The cubic root of 563134752 is about 825.7921999341.

The spelling of 563134752 in words is "five hundred sixty-three million, one hundred thirty-four thousand, seven hundred fifty-two".