25638860091289 has 9 divisors (see below), whose sum is σ = 25810548034719. Its totient is φ = 25468306793400.

The previous prime is 25638860091283. The next prime is 25638860091293. The reversal of 25638860091289 is 98219006883652.

It is a happy number.

The square root of 25638860091289 is 5063483.

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., 20295790857225 + 5343069234064 = 4505085^2 + 2311508^2 .

It is not a de Polignac number, because 25638860091289 - 2⁹ = 25638860090777 is a prime.

It is a super-2 number, since 2×25638860091289² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25638860091283) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 764569167 + ... + 764602699.

Almost surely, 2^{25638860091289} is an apocalyptic number.

25638860091289 is the 5063483-rd square number.

25638860091289 is the 2531742-nd centered octagonal number.

It is an amenable number.

25638860091289 is a deficient number, since it is larger than the sum of its proper divisors (171687943430).

25638860091289 is an frugal number, since it uses more digits than its factorization.

25638860091289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67368 (or 33684 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 67.

The spelling of 25638860091289 in words is "twenty-five trillion, six hundred thirty-eight billion, eight hundred sixty million, ninety-one thousand, two hundred eighty-nine".