565834752 has 264 divisors, whose sum is σ = 1915992000. Its totient is φ = 160763904.

The previous prime is 565834741. The next prime is 565834757. The reversal of 565834752 is 257438565.

565834752 is a `hidden beast` number, since 565 + 8 + 34 + 7 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 565834698 and 565834707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (565834757) 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, 3160999 + ... + 3161177.

Almost surely, 2^565834752 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 565834752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957996000).

565834752 is an abundant number, since it is smaller than the sum of its proper divisors (1350157248).

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

565834752 is a wasteful number, since it uses less digits than its factorization.

565834752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 191 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The square root of 565834752 is about 23787.2813074550. The cubic root of 565834752 is about 827.1098744885.

The spelling of 565834752 in words is "five hundred sixty-five million, eight hundred thirty-four thousand, seven hundred fifty-two".