561500416 has 27 divisors (see below), whose sum is σ = 1121564773. Its totient is φ = 280560640.

The previous prime is 561500389. The next prime is 561500417. The reversal of 561500416 is 614005165.

The square root of 561500416 is 23696.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 240374016 + 321126400 = 15504^2 + 17920^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (561500417) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 378396 + ... + 379876.

Almost surely, 2^561500416 is an apocalyptic number.

561500416 is the 23696-th square number.

It is an amenable number.

561500416 is a deficient number, since it is larger than the sum of its proper divisors (560064357).

561500416 is an frugal number, since it uses more digits than its factorization.

561500416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2978 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The cubic root of 561500416 is about 824.9925513867.

Multiplying 561500416 by its product of nonzero digits (3600), we get a square (2021401497600 = 1421760²).

The spelling of 561500416 in words is "five hundred sixty-one million, five hundred thousand, four hundred sixteen".