561575952 has 120 divisors (see below), whose sum is σ = 1858184640. Its totient is φ = 154909440.

The previous prime is 561575939. The next prime is 561575999. The reversal of 561575952 is 259575165.

561575952 is a `hidden beast` number, since 5 + 6 + 1 + 57 + 595 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 561575898 and 561575907.

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, 19627 + ... + 38837.

It is an arithmetic number, because the mean of its divisors is an integer number (15484872).

Almost surely, 2^561575952 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 561575952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929092320).

561575952 is an abundant number, since it is smaller than the sum of its proper divisors (1296608688).

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

561575952 is a wasteful number, since it uses less digits than its factorization.

561575952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19261 (or 19252 counting only the distinct ones).

The product of its digits is 472500, while the sum is 45.

The square root of 561575952 is about 23697.5938019032. The cubic root of 561575952 is about 825.0295438456.

The spelling of 561575952 in words is "five hundred sixty-one million, five hundred seventy-five thousand, nine hundred fifty-two".