25301674225 has 27 divisors (see below), whose sum is σ = 32522893507. Its totient is φ = 19525546880.

The previous prime is 25301674207. The next prime is 25301674231. The reversal of 25301674225 is 52247610352.

The square root of 25301674225 is 159065.

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 20614354929 + 4687319296 = 143577^2 + 68464^2 .

It is not a de Polignac number, because 25301674225 - 2¹⁷ = 25301543153 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, 23063877 + ... + 23064973.

Almost surely, 2^25301674225 is an apocalyptic number.

25301674225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25301674225 is the 159065-th square number.

25301674225 is the 79533-rd centered octagonal number.

It is an amenable number.

25301674225 is a deficient number, since it is larger than the sum of its proper divisors (7221219282).

25301674225 is an frugal number, since it uses more digits than its factorization.

25301674225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2262 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The spelling of 25301674225 in words is "twenty-five billion, three hundred one million, six hundred seventy-four thousand, two hundred twenty-five".