25872586720253 has 16 divisors (see below), whose sum is σ = 32158462713216. Its totient is φ = 20267938670400.

The previous prime is 25872586720247. The next prime is 25872586720303. The reversal of 25872586720253 is 35202768527852.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 25872586720253 - 2⁴ = 25872586720237 is a prime.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25872586720553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1407486551 + ... + 1407504932.

It is an arithmetic number, because the mean of its divisors is an integer number (2009903919576).

Almost surely, 2^{25872586720253} is an apocalyptic number.

It is an amenable number.

25872586720253 is a deficient number, since it is larger than the sum of its proper divisors (6285875992963).

25872586720253 is a wasteful number, since it uses less digits than its factorization.

25872586720253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814991604.

The product of its (nonzero) digits is 112896000, while the sum is 62.

The spelling of 25872586720253 in words is "twenty-five trillion, eight hundred seventy-two billion, five hundred eighty-six million, seven hundred twenty thousand, two hundred fifty-three".