562753152 has 192 divisors, whose sum is σ = 1779359400. Its totient is φ = 169648128.

The previous prime is 562753133. The next prime is 562753181. The reversal of 562753152 is 251357265.

562753152 is a `hidden beast` number, since 56 + 27 + 531 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 340623936 + 222129216 = 18456^2 + 14904^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×562753152² = 633382220171870208, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 793374 + ... + 794082.

Almost surely, 2^562753152 is an apocalyptic number.

562753152 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 562753152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889679700).

562753152 is an abundant number, since it is smaller than the sum of its proper divisors (1216606248).

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

562753152 is a wasteful number, since it uses less digits than its factorization.

562753152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 780 counting only the distinct ones).

The product of its digits is 63000, while the sum is 36.

The square root of 562753152 is about 23722.4187636927. The cubic root of 562753152 is about 825.6056291305.

The spelling of 562753152 in words is "five hundred sixty-two million, seven hundred fifty-three thousand, one hundred fifty-two".