563516352 has 280 divisors, whose sum is σ = 1951731936. Its totient is φ = 157427712.

The previous prime is 563516347. The next prime is 563516411. The reversal of 563516352 is 253615365.

563516352 is a `hidden beast` number, since 5 + 635 + 16 + 3 + 5 + 2 = 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 39 ways as a sum of consecutive naturals, for example, 1923118 + ... + 1923410.

Almost surely, 2^563516352 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 563516352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975865968).

563516352 is an abundant number, since it is smaller than the sum of its proper divisors (1388215584).

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

563516352 is a wasteful number, since it uses less digits than its factorization.

563516352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 358 counting only the distinct ones).

The product of its digits is 81000, while the sum is 36.

The square root of 563516352 is about 23738.4993628494. The cubic root of 563516352 is about 825.9786864721.

The spelling of 563516352 in words is "five hundred sixty-three million, five hundred sixteen thousand, three hundred fifty-two".