220059501025 has 81 divisors (see below), whose sum is σ = 344053840473. Its totient is φ = 139155307200.

The previous prime is 220059500977. The next prime is 220059501029. The reversal of 220059501025 is 520105950022.

The square root of 220059501025 is 469105.

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

It can be written as a sum of positive squares in 4 ways, for example, as 56720661921 + 163338839104 = 238161^2 + 404152^2 .

It is not a de Polignac number, because 220059501025 - 2⁹ = 220059500513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220059501029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 213442260 + ... + 213443290.

Almost surely, 2^220059501025 is an apocalyptic number.

220059501025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

220059501025 is the 469105-th square number.

220059501025 is the 234553-rd centered octagonal number.

It is an amenable number.

220059501025 is a deficient number, since it is larger than the sum of its proper divisors (123994339448).

220059501025 is an equidigital number, since it uses as much as digits as its factorization.

220059501025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 31.

The spelling of 220059501025 in words is "two hundred twenty billion, fifty-nine million, five hundred one thousand, twenty-five".