561727765225 has 27 divisors (see below), whose sum is σ = 765677205111. Its totient is φ = 408499304400.

The previous prime is 561727765201. The next prime is 561727765297. The reversal of 561727765225 is 522567727165.

The square root of 561727765225 is 749485.

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

561727765225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 202221995481 + 359505769744 = 449691^2 + 599588^2 .

It is not a de Polignac number, because 561727765225 - 2³⁹ = 11971951337 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 41214862 + ... + 41228488.

Almost surely, 2^561727765225 is an apocalyptic number.

561727765225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

561727765225 is the 749485-th square number.

561727765225 is the 374743-rd centered octagonal number.

It is an amenable number.

561727765225 is a deficient number, since it is larger than the sum of its proper divisors (203949439886).

561727765225 is an frugal number, since it uses more digits than its factorization.

561727765225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27286 (or 13643 counting only the distinct ones).

The product of its digits is 12348000, while the sum is 55.

The spelling of 561727765225 in words is "five hundred sixty-one billion, seven hundred twenty-seven million, seven hundred sixty-five thousand, two hundred twenty-five".