220961104225 has 27 divisors (see below), whose sum is σ = 280960018059. Its totient is φ = 172382236800.

The previous prime is 220961104207. The next prime is 220961104229. The reversal of 220961104225 is 522401169022.

It is a happy number.

The square root of 220961104225 is 470065.

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

220961104225 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 13 ways, for example, as 216827128609 + 4133975616 = 465647^2 + 64296^2 .

It is not a de Polignac number, because 220961104225 - 2⁷ = 220961104097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (220961104229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 96362179 + ... + 96364471.

Almost surely, 2^220961104225 is an apocalyptic number.

220961104225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

220961104225 is the 470065-th square number.

220961104225 is the 235033-rd centered octagonal number.

It is an amenable number.

220961104225 is a deficient number, since it is larger than the sum of its proper divisors (59998913834).

220961104225 is an frugal number, since it uses more digits than its factorization.

220961104225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4678 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 220961104225 in words is "two hundred twenty billion, nine hundred sixty-one million, one hundred four thousand, two hundred twenty-five".