11825475025 has 81 divisors (see below), whose sum is σ = 18548310321. Its totient is φ = 7453817280.

The previous prime is 11825475017. The next prime is 11825475071. The reversal of 11825475025 is 52057452811.

The square root of 11825475025 is 108745.

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

11825475025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3048033681 + 8777441344 = 55209^2 + 93688^2 .

It is not a de Polignac number, because 11825475025 - 2³ = 11825475017 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 80 ways as a sum of consecutive naturals, for example, 49478856 + ... + 49479094.

Almost surely, 2^11825475025 is an apocalyptic number.

11825475025 is the 108745-th square number.

11825475025 is the 54373-rd centered octagonal number.

It is an amenable number.

11825475025 is a deficient number, since it is larger than the sum of its proper divisors (6722835296).

11825475025 is an equidigital number, since it uses as much as digits as its factorization.

11825475025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 40.

The spelling of 11825475025 in words is "eleven billion, eight hundred twenty-five million, four hundred seventy-five thousand, twenty-five".