561572352 has 200 divisors, whose sum is σ = 1830007872. Its totient is φ = 170035200.

The previous prime is 561572317. The next prime is 561572353. The reversal of 561572352 is 253275165.

561572352 is a `hidden beast` number, since 5 + 615 + 7 + 2 + 35 + 2 = 666.

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 (561572353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 455577 + ... + 456807.

Almost surely, 2^561572352 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 561572352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915003936).

561572352 is an abundant number, since it is smaller than the sum of its proper divisors (1268435520).

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

561572352 is a wasteful number, since it uses less digits than its factorization.

561572352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1247 counting only the distinct ones).

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

The square root of 561572352 is about 23697.5178447026. The cubic root of 561572352 is about 825.0277808827.

The spelling of 561572352 in words is "five hundred sixty-one million, five hundred seventy-two thousand, three hundred fifty-two".