25627207225 has 27 divisors (see below), whose sum is σ = 32197050151. Its totient is φ = 20234744000.

The previous prime is 25627207159. The next prime is 25627207231. The reversal of 25627207225 is 52270272652.

The square root of 25627207225 is 160085.

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

It can be written as a sum of positive squares in 13 ways, for example, as 15418933929 + 10208273296 = 124173^2 + 101036^2 .

It is not a de Polignac number, because 25627207225 - 2⁷ = 25627207097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 80842767 + ... + 80843083.

Almost surely, 2^25627207225 is an apocalyptic number.

25627207225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25627207225 is the 160085-th square number.

25627207225 is the 80043-rd centered octagonal number.

It is an amenable number.

25627207225 is a deficient number, since it is larger than the sum of its proper divisors (6569842926).

25627207225 is an frugal number, since it uses more digits than its factorization.

25627207225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 40.

Adding to 25627207225 its reverse (52270272652), we get a palindrome (77897479877).

The spelling of 25627207225 in words is "twenty-five billion, six hundred twenty-seven million, two hundred seven thousand, two hundred twenty-five".