25890419025 has 81 divisors (see below), whose sum is σ = 49339068753. Its totient is φ = 12975379200.

The previous prime is 25890419011. The next prime is 25890419029. The reversal of 25890419025 is 52091409852.

It is a happy number.

The square root of 25890419025 is 160905.

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

25890419025 is a `hidden beast` number, since 2 + 589 + 0 + 41 + 9 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 605602881 + 25284816144 = 24609^2 + 159012^2 .

It is not a de Polignac number, because 25890419025 - 2²⁹ = 25353548113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (25890419029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 41030460 + ... + 41031090.

Almost surely, 2^25890419025 is an apocalyptic number.

25890419025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25890419025 is the 160905-th square number.

25890419025 is the 80453-rd centered octagonal number.

It is an amenable number.

25890419025 is a deficient number, since it is larger than the sum of its proper divisors (23448649728).

25890419025 is an equidigital number, since it uses as much as digits as its factorization.

25890419025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 25890419025 in words is "twenty-five billion, eight hundred ninety million, four hundred nineteen thousand, twenty-five".