25193625625 has 45 divisors (see below), whose sum is σ = 36662286969. Its totient is φ = 17256582000.

The previous prime is 25193625623. The next prime is 25193625649. The reversal of 25193625625 is 52652639152.

The square root of 25193625625 is 158725.

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

It can be written as a sum of positive squares in 2 ways, for example, as 1975180249 + 23218445376 = 44443^2 + 152376^2 .

It is not a de Polignac number, because 25193625625 - 2¹ = 25193625623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (25193625623) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 27776422 + ... + 27777328.

Almost surely, 2^25193625625 is an apocalyptic number.

25193625625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25193625625 is the 158725-th square number.

25193625625 is the 79363-rd centered octagonal number.

It is an amenable number.

25193625625 is a deficient number, since it is larger than the sum of its proper divisors (11468661344).

25193625625 is an frugal number, since it uses more digits than its factorization.

25193625625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 919 counting only the distinct ones).

The product of its digits is 972000, while the sum is 46.

The spelling of 25193625625 in words is "twenty-five billion, one hundred ninety-three million, six hundred twenty-five thousand, six hundred twenty-five".