225772274025 has 45 divisors (see below), whose sum is σ = 418247906791. Its totient is φ = 120400475760.

The previous prime is 225772273999. The next prime is 225772274027. The reversal of 225772274025 is 520472277522.

The square root of 225772274025 is 475155.

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

225772274025 is a `hidden beast` number, since 2 + 2 + 577 + 2 + 2 + 74 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 81278018649 + 144494255376 = 285093^2 + 380124^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 225772274025 - 2²¹ = 225770176873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (225772274027) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 21376696 + ... + 21387254.

Almost surely, 2^225772274025 is an apocalyptic number.

225772274025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

225772274025 is the 475155-th square number.

225772274025 is the 237578-th centered octagonal number.

It is an amenable number.

225772274025 is a deficient number, since it is larger than the sum of its proper divisors (192475632766).

225772274025 is an frugal number, since it uses more digits than its factorization.

225772274025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21140 (or 10567 counting only the distinct ones).

The product of its (nonzero) digits is 1097600, while the sum is 45.

The spelling of 225772274025 in words is "two hundred twenty-five billion, seven hundred seventy-two million, two hundred seventy-four thousand, twenty-five".