225962376025 has 9 divisors (see below), whose sum is σ = 280196293503. Its totient is φ = 180767999400.

The previous prime is 225962376019. The next prime is 225962376047. The reversal of 225962376025 is 520673269522.

The square root of 225962376025 is 475355.

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

225962376025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 81346455369 + 144615920656 = 285213^2 + 380284^2 .

It is not a de Polignac number, because 225962376025 - 2⁷ = 225962375897 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 225962376025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2329240 + ... + 2424310.

Almost surely, 2^225962376025 is an apocalyptic number.

225962376025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

225962376025 is the 475355-th square number.

225962376025 is the 237678-th centered octagonal number.

It is an amenable number.

225962376025 is a deficient number, since it is larger than the sum of its proper divisors (54233917478).

225962376025 is an frugal number, since it uses more digits than its factorization.

225962376025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190152 (or 95076 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 49.

Multiplying 225962376025 by its sum of digits (49), we get a square (11072156425225 = 3327485²).

The spelling of 225962376025 in words is "two hundred twenty-five billion, nine hundred sixty-two million, three hundred seventy-six thousand, twenty-five".