561563520 has 384 divisors, whose sum is σ = 2143272960. Its totient is φ = 124637184.

The previous prime is 561563491. The next prime is 561563537. The reversal of 561563520 is 25365165.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4421697 + ... + 4421823.

It is an arithmetic number, because the mean of its divisors is an integer number (5581440).

Almost surely, 2^561563520 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 561563520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071636480).

561563520 is an abundant number, since it is smaller than the sum of its proper divisors (1581709440).

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

561563520 is a wasteful number, since it uses less digits than its factorization.

561563520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The square root of 561563520 is about 23697.3314953393. The cubic root of 561563520 is about 825.0234557151.

The spelling of 561563520 in words is "five hundred sixty-one million, five hundred sixty-three thousand, five hundred twenty".