25293828125 has 24 divisors (see below), whose sum is σ = 31672868136. Its totient is φ = 20199500000.

The previous prime is 25293828103. The next prime is 25293828151. The reversal of 25293828125 is 52182839252.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 12 ways, for example, as 2414543044 + 22879285081 = 49138^2 + 151259^2 .

It is not a de Polignac number, because 25293828125 - 2⁶ = 25293828061 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 25293828125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44452841 + ... + 44453409.

It is an arithmetic number, because the mean of its divisors is an integer number (1319702839).

Almost surely, 2^25293828125 is an apocalyptic number.

25293828125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

25293828125 is a deficient number, since it is larger than the sum of its proper divisors (6379040011).

25293828125 is an frugal number, since it uses more digits than its factorization.

25293828125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 574 counting only the distinct ones).

The product of its digits is 691200, while the sum is 47.

The spelling of 25293828125 in words is "twenty-five billion, two hundred ninety-three million, eight hundred twenty-eight thousand, one hundred twenty-five".