225762771025 has 81 divisors (see below), whose sum is σ = 315560315217. Its totient is φ = 160104859200.

The previous prime is 225762771007. The next prime is 225762771139. The reversal of 225762771025 is 520177267522.

The square root of 225762771025 is 475145.

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 1700655121 + 224062115904 = 41239^2 + 473352^2 .

It is not a de Polignac number, because 225762771025 - 2⁵ = 225762770993 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 (11) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1385047594 + ... + 1385047756.

Almost surely, 2^225762771025 is an apocalyptic number.

225762771025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

225762771025 is the 475145-th square number.

225762771025 is the 237573-rd centered octagonal number.

It is an amenable number.

225762771025 is a deficient number, since it is larger than the sum of its proper divisors (89797544192).

225762771025 is an equidigital number, since it uses as much as digits as its factorization.

225762771025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 46.

The spelling of 225762771025 in words is "two hundred twenty-five billion, seven hundred sixty-two million, seven hundred seventy-one thousand, twenty-five".