220657804248025 has 81 divisors (see below), whose sum is σ = 279430176306519. Its totient is φ = 172852830783360.

The previous prime is 220657804248017. The next prime is 220657804248031. The reversal of 220657804248025 is 520842408756022.

The square root of 220657804248025 is 14854555.

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

It can be written as a sum of positive squares in 13 ways, for example, as 220650258198601 + 7546049424 = 14854301^2 + 86868^2 .

It is not a de Polignac number, because 220657804248025 - 2³ = 220657804248017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1405463721247 + ... + 1405463721403.

Almost surely, 2^{220657804248025} is an apocalyptic number.

220657804248025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

220657804248025 is the 14854555-th square number.

220657804248025 is the 7427278-th centered octagonal number.

It is an amenable number.

220657804248025 is a deficient number, since it is larger than the sum of its proper divisors (58772372058494).

220657804248025 is an frugal number, since it uses more digits than its factorization.

220657804248025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 17203200, while the sum is 55.

The spelling of 220657804248025 in words is "two hundred twenty trillion, six hundred fifty-seven billion, eight hundred four million, two hundred forty-eight thousand, twenty-five".