2270431172025 has 243 divisors, whose sum is σ = 4573912541133. Its totient is φ = 1076213260800.

The previous prime is 2270431172017. The next prime is 2270431172029. The reversal of 2270431172025 is 5202711340722.

The square root of 2270431172025 is 1506795.

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

2270431172025 is a `hidden beast` number, since 2 + 2 + 7 + 0 + 431 + 17 + 202 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 53107663401 + 2217323508624 = 230451^2 + 1489068^2 .

It is not a de Polignac number, because 2270431172025 - 2³ = 2270431172017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2270431172029) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 7300421620 + ... + 7300421930.

Almost surely, 2^{2270431172025} is an apocalyptic number.

2270431172025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2270431172025 is the 1506795-th square number.

2270431172025 is the 753398-th centered octagonal number.

It is an amenable number.

2270431172025 is an abundant number, since it is smaller than the sum of its proper divisors (2303481369108).

2270431172025 is a wasteful number, since it uses less digits than its factorization.

2270431172025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

Multiplying 2270431172025 by its sum of digits (36), we get a square (81735522192900 = 9040770²).

The spelling of 2270431172025 in words is "two trillion, two hundred seventy billion, four hundred thirty-one million, one hundred seventy-two thousand, twenty-five".