225840333160225 has 81 divisors (see below), whose sum is σ = 328229896178457. Its totient is φ = 153698055356160.

The previous prime is 225840333160217. The next prime is 225840333160231. The reversal of 225840333160225 is 522061333048522.

The square root of 225840333160225 is 15027985.

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 27229600803601 + 198610732356624 = 5218199^2 + 14092932^2 .

It is not a de Polignac number, because 225840333160225 - 2³ = 225840333160217 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 73111145481 + ... + 73111148569.

Almost surely, 2^{225840333160225} is an apocalyptic number.

225840333160225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

225840333160225 is the 15027985-th square number.

225840333160225 is the 7513993-rd centered octagonal number.

It is an amenable number.

225840333160225 is a deficient number, since it is larger than the sum of its proper divisors (102389563018232).

225840333160225 is an frugal number, since it uses more digits than its factorization.

225840333160225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6480 (or 3240 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 46.

The spelling of 225840333160225 in words is "two hundred twenty-five trillion, eight hundred forty billion, three hundred thirty-three million, one hundred sixty thousand, two hundred twenty-five".