25585619917729 has 9 divisors (see below), whose sum is σ = 25613282850739. Its totient is φ = 25557986845480.

The previous prime is 25585619917679. The next prime is 25585619917751. The reversal of 25585619917729 is 92771991658552.

The square root of 25585619917729 is 5058223.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 23465043229329 + 2120576688400 = 4844073^2 + 1456220^2 .

It is not a de Polignac number, because 25585619917729 - 2⁹ = 25585619917217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25585611917729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5973759222 + ... + 5973763504.

Almost surely, 2^{25585619917729} is an apocalyptic number.

25585619917729 is the 5058223-rd square number.

25585619917729 is the 2529112-nd centered octagonal number.

It is an amenable number.

25585619917729 is a deficient number, since it is larger than the sum of its proper divisors (27662933010).

25585619917729 is an frugal number, since it uses more digits than its factorization.

25585619917729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10928 (or 5464 counting only the distinct ones).

The product of its digits is 857304000, while the sum is 76.

The spelling of 25585619917729 in words is "twenty-five trillion, five hundred eighty-five billion, six hundred nineteen million, nine hundred seventeen thousand, seven hundred twenty-nine".