220801311025 has 9 divisors (see below), whose sum is σ = 273796539051. Its totient is φ = 176639169240.

The previous prime is 220801311007. The next prime is 220801311041. The reversal of 220801311025 is 520113108022.

The square root of 220801311025 is 469895.

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., 79488471969 + 141312839056 = 281937^2 + 375916^2 .

It is not a de Polignac number, because 220801311025 - 2¹³ = 220801302833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2302486 + ... + 2396464.

Almost surely, 2^220801311025 is an apocalyptic number.

220801311025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

220801311025 is the 469895-th square number.

220801311025 is the 234948-th centered octagonal number.

It is an amenable number.

220801311025 is a deficient number, since it is larger than the sum of its proper divisors (52995228026).

220801311025 is an frugal number, since it uses more digits than its factorization.

220801311025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187968 (or 93984 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Multiplying 220801311025 by its sum of digits (25), we get a square (5520032775625 = 2349475²).

220801311025 divided by its sum of digits (25) gives a square (8832052441 = 93979²).

Adding to 220801311025 its reverse (520113108022), we get a palindrome (740914419047).

The spelling of 220801311025 in words is "two hundred twenty billion, eight hundred one million, three hundred eleven thousand, twenty-five".