561050560 has 168 divisors, whose sum is σ = 1575511200. Its totient is φ = 186408960.

The previous prime is 561050551. The next prime is 561050593. The reversal of 561050560 is 65050165.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3765366 + ... + 3765514.

Almost surely, 2^561050560 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 561050560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787755600).

561050560 is an abundant number, since it is smaller than the sum of its proper divisors (1014460640).

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

561050560 is a wasteful number, since it uses less digits than its factorization.

561050560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

The square root of 561050560 is about 23686.5058630436. The cubic root of 561050560 is about 824.7721733931.

The spelling of 561050560 in words is "five hundred sixty-one million, fifty thousand, five hundred sixty".