25753503320325 has 288 divisors, whose sum is σ = 54386569036800. Its totient is φ = 11514172032000.

The previous prime is 25753503320273. The next prime is 25753503320381. The reversal of 25753503320325 is 52302330535752.

25753503320325 is a `hidden beast` number, since 2 + 5 + 75 + 350 + 3 + 3 + 203 + 25 = 666.

It is not a de Polignac number, because 25753503320325 - 2⁷ = 25753503320197 is a prime.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 846387762 + ... + 846418188.

It is an arithmetic number, because the mean of its divisors is an integer number (188842253600).

Almost surely, 2^{25753503320325} is an apocalyptic number.

25753503320325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

25753503320325 is an abundant number, since it is smaller than the sum of its proper divisors (28633065716475).

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

25753503320325 is a wasteful number, since it uses less digits than its factorization.

25753503320325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30953 (or 30945 counting only the distinct ones).

The product of its (nonzero) digits is 2835000, while the sum is 45.

The spelling of 25753503320325 in words is "twenty-five trillion, seven hundred fifty-three billion, five hundred three million, three hundred twenty thousand, three hundred twenty-five".