25899213622129 has 9 divisors (see below), whose sum is σ = 26153632876683. Its totient is φ = 25647245855232.

The previous prime is 25899213622069. The next prime is 25899213622181. The reversal of 25899213622129 is 92122631299852.

The square root of 25899213622129 is 5089127.

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., 9928000662129 + 15971212960000 = 3150873^2 + 3996400^2 .

It is not a de Polignac number, because 25899213622129 - 2¹⁷ = 25899213491057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25899213620129) 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, 524155377 + ... + 524204785.

Almost surely, 2^{25899213622129} is an apocalyptic number.

25899213622129 is the 5089127-th square number.

25899213622129 is the 2544564-th centered octagonal number.

It is an amenable number.

25899213622129 is a deficient number, since it is larger than the sum of its proper divisors (254419254554).

25899213622129 is an frugal number, since it uses more digits than its factorization.

25899213622129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99024 (or 49512 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 61.

The spelling of 25899213622129 in words is "twenty-five trillion, eight hundred ninety-nine billion, two hundred thirteen million, six hundred twenty-two thousand, one hundred twenty-nine".