25322885874225 has 81 divisors (see below), whose sum is σ = 46620215429697. Its totient is φ = 13139075292480.

The previous prime is 25322885874163. The next prime is 25322885874233. The reversal of 25322885874225 is 52247858822352.

The square root of 25322885874225 is 5032185.

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

25322885874225 is a `hidden beast` number, since 2 + 5 + 3 + 2 + 2 + 8 + 8 + 587 + 42 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2403916908849 + 22918968965376 = 1550457^2 + 4787376^2 .

It is not a de Polignac number, because 25322885874225 - 2⁹ = 25322885873713 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, 2792858142 + ... + 2792867208.

Almost surely, 2^{25322885874225} is an apocalyptic number.

25322885874225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25322885874225 is the 5032185-th square number.

25322885874225 is the 2516093-rd centered octagonal number.

It is an amenable number.

25322885874225 is a deficient number, since it is larger than the sum of its proper divisors (21297329555472).

25322885874225 is an frugal number, since it uses more digits than its factorization.

25322885874225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18224 (or 9112 counting only the distinct ones).

The product of its digits is 172032000, while the sum is 63.

The spelling of 25322885874225 in words is "twenty-five trillion, three hundred twenty-two billion, eight hundred eighty-five million, eight hundred seventy-four thousand, two hundred twenty-five".