225264025 has 72 divisors (see below), whose sum is σ = 356863320. Its totient is φ = 139991040.

The previous prime is 225264007. The next prime is 225264079. The reversal of 225264025 is 520462522.

225264025 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 12 ways, for example, as 26904969 + 198359056 = 5187^2 + 14084^2 .

It is not a de Polignac number, because 225264025 - 2⁹ = 225263513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 225263984 and 225264002.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 603739 + ... + 604111.

It is an arithmetic number, because the mean of its divisors is an integer number (4956435).

Almost surely, 2^225264025 is an apocalyptic number.

225264025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

225264025 is a deficient number, since it is larger than the sum of its proper divisors (131599295).

225264025 is a wasteful number, since it uses less digits than its factorization.

225264025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 225264025 is about 15008.7982530248. The cubic root of 225264025 is about 608.4580107669.

The spelling of 225264025 in words is "two hundred twenty-five million, two hundred sixty-four thousand, twenty-five".