25732610112825 has 432 divisors, whose sum is σ = 62729243553600. Its totient is φ = 9940023475200.

The previous prime is 25732610112823. The next prime is 25732610112857. The reversal of 25732610112825 is 52821101623752.

25732610112825 is a `hidden beast` number, since 2 + 5 + 7 + 3 + 2 + 610 + 1 + 1 + 2 + 8 + 25 = 666.

It is not a de Polignac number, because 25732610112825 - 2¹ = 25732610112823 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 (25732610112823) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 122018571 + ... + 122229279.

It is an arithmetic number, because the mean of its divisors is an integer number (145206582300).

Almost surely, 2^{25732610112825} is an apocalyptic number.

25732610112825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

25732610112825 is an abundant number, since it is smaller than the sum of its proper divisors (36996633440775).

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

25732610112825 is a wasteful number, since it uses less digits than its factorization.

25732610112825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210822 (or 210807 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 25732610112825 in words is "twenty-five trillion, seven hundred thirty-two billion, six hundred ten million, one hundred twelve thousand, eight hundred twenty-five".