25955305783225 has 81 divisors (see below), whose sum is σ = 40544297887527. Its totient is φ = 16427385636480.

The previous prime is 25955305783217. The next prime is 25955305783301. The reversal of 25955305783225 is 52238750355952.

The square root of 25955305783225 is 5094635.

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 25927353955881 + 27951827344 = 5091891^2 + 167188^2 .

It is not a de Polignac number, because 25955305783225 - 2³ = 25955305783217 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2318053327 + ... + 2318064523.

Almost surely, 2^{25955305783225} is an apocalyptic number.

25955305783225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25955305783225 is the 5094635-th square number.

25955305783225 is the 2547318-th centered octagonal number.

It is an amenable number.

25955305783225 is a deficient number, since it is larger than the sum of its proper divisors (14588992104302).

25955305783225 is an frugal number, since it uses more digits than its factorization.

25955305783225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22444 (or 11222 counting only the distinct ones).

The product of its (nonzero) digits is 113400000, while the sum is 61.

The spelling of 25955305783225 in words is "twenty-five trillion, nine hundred fifty-five billion, three hundred five million, seven hundred eighty-three thousand, two hundred twenty-five".