561952 has 24 divisors (see below), whose sum is σ = 1172556. Its totient is φ = 264192.

The previous prime is 561947. The next prime is 561961. The reversal of 561952 is 259165.

It can be written as a sum of positive squares in 2 ways, for example, as 456976 + 104976 = 676^2 + 324^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 561952.

It is a congruent number.

It is an unprimeable number.

561952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28 + ... + 1060.

2⁵⁶¹⁹⁵² 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 561952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586278).

561952 is an abundant number, since it is smaller than the sum of its proper divisors (610604).

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

561952 is a wasteful number, since it uses less digits than its factorization.

561952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1052 counting only the distinct ones).

The product of its digits is 2700, while the sum is 28.

The square root of 561952 is about 749.6345776443. The cubic root of 561952 is about 82.5213657549.

It can be divided in two parts, 5619 and 52, that added together give a triangular number (5671 = T₁₀₆).

The spelling of 561952 in words is "five hundred sixty-one thousand, nine hundred fifty-two".