225513405225 has 144 divisors (see below), whose sum is σ = 443050642944. Its totient is φ = 109156608000.

The previous prime is 225513405199. The next prime is 225513405233. The reversal of 225513405225 is 522504315522.

225513405225 is a `hidden beast` number, since 2 + 2 + 551 + 34 + 0 + 52 + 25 = 666.

It is not a de Polignac number, because 225513405225 - 2⁸ = 225513404969 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 225513405225.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34739230 + ... + 34745720.

It is an arithmetic number, because the mean of its divisors is an integer number (3076740576).

Almost surely, 2^225513405225 is an apocalyptic number.

225513405225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

225513405225 is a deficient number, since it is larger than the sum of its proper divisors (217537237719).

225513405225 is a wasteful number, since it uses less digits than its factorization.

225513405225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6848 (or 6840 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 225513405225 in words is "two hundred twenty-five billion, five hundred thirteen million, four hundred five thousand, two hundred twenty-five".