225726735882025 has 81 divisors (see below), whose sum is σ = 327410735256549. Its totient is φ = 153927667776960.

The previous prime is 225726735882001. The next prime is 225726735882101. The reversal of 225726735882025 is 520288537627522.

The square root of 225726735882025 is 15024205.

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 52051448779561 + 173675287102464 = 7214669^2 + 13178592^2 .

It is not a de Polignac number, because 225726735882025 - 2⁵ = 225726735881993 is a prime.

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, 103591892386 + ... + 103591894564.

Almost surely, 2^{225726735882025} is an apocalyptic number.

225726735882025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

225726735882025 is the 15024205-th square number.

225726735882025 is the 7512103-rd centered octagonal number.

It is an amenable number.

225726735882025 is a deficient number, since it is larger than the sum of its proper divisors (101683999374524).

225726735882025 is an frugal number, since it uses more digits than its factorization.

225726735882025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4776 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 225792000, while the sum is 64.

The spelling of 225726735882025 in words is "two hundred twenty-five trillion, seven hundred twenty-six billion, seven hundred thirty-five million, eight hundred eighty-two thousand, twenty-five".