25038138825 has 180 divisors, whose sum is σ = 54310398912. Its totient is φ = 11369937600.

The previous prime is 25038138823. The next prime is 25038138847. The reversal of 25038138825 is 52883183052.

25038138825 is a `hidden beast` number, since 2 + 503 + 8 + 138 + 8 + 2 + 5 = 666.

It is not a de Polignac number, because 25038138825 - 2¹ = 25038138823 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (25038138823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 16569820 + ... + 16571330.

Almost surely, 2^25038138825 is an apocalyptic number.

25038138825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

25038138825 is an abundant number, since it is smaller than the sum of its proper divisors (29272260087).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25038138825 is a wasteful number, since it uses less digits than its factorization.

25038138825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 25038138825 in words is "twenty-five billion, thirty-eight million, one hundred thirty-eight thousand, eight hundred twenty-five".