561598861201 has 9 divisors (see below), whose sum is σ = 653294573499. Its totient is φ = 481365956064.

The previous prime is 561598861183. The next prime is 561598861283. The reversal of 561598861201 is 102168895165.

It is a happy number.

The square root of 561598861201 is 749399.

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., 296398580625 + 265200280576 = 544425^2 + 514976^2 .

It is not a de Polignac number, because 561598861201 - 2⁷ = 561598861073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (561598861001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5192265 + ... + 5299321.

Almost surely, 2^561598861201 is an apocalyptic number.

561598861201 is the 749399-th square number.

561598861201 is the 374700-th centered octagonal number.

It is an amenable number.

561598861201 is a deficient number, since it is larger than the sum of its proper divisors (91695712298).

561598861201 is an frugal number, since it uses more digits than its factorization.

561598861201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214128 (or 107064 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 52.

The spelling of 561598861201 in words is "five hundred sixty-one billion, five hundred ninety-eight million, eight hundred sixty-one thousand, two hundred one".