25206325225 has 27 divisors (see below), whose sum is σ = 31647514639. Its totient is φ = 19915481600.

The previous prime is 25206325223. The next prime is 25206325229. The reversal of 25206325225 is 52252360252.

The square root of 25206325225 is 158765.

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 24477541209 + 728784016 = 156453^2 + 26996^2 .

It is not a de Polignac number, because 25206325225 - 2¹ = 25206325223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25206325223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 89702085 + ... + 89702365.

Almost surely, 2^25206325225 is an apocalyptic number.

25206325225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25206325225 is the 158765-th square number.

25206325225 is the 79383-rd centered octagonal number.

It is an amenable number.

25206325225 is a deficient number, since it is larger than the sum of its proper divisors (6441189414).

25206325225 is an frugal number, since it uses more digits than its factorization.

25206325225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

Adding to 25206325225 its reverse (52252360252), we get a palindrome (77458685477).

The spelling of 25206325225 in words is "twenty-five billion, two hundred six million, three hundred twenty-five thousand, two hundred twenty-five".