25673201998129 has 9 divisors (see below), whose sum is σ = 29864786440377. Its totient is φ = 22005571311444.

The previous prime is 25673201998061. The next prime is 25673201998141. The reversal of 25673201998129 is 92189910237652.

It is a happy number.

The square root of 25673201998129 is 5066873.

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

It is not a de Polignac number, because 25673201998129 - 2¹⁹ = 25673201473841 is a prime.

It is a super-2 number, since 2×25673201998129² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (25673201998529) 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, 35106192 + ... + 35830030.

Almost surely, 2^{25673201998129} is an apocalyptic number.

25673201998129 is the 5066873-rd square number.

25673201998129 is the 2533437-th centered octagonal number.

It is an amenable number.

25673201998129 is a deficient number, since it is larger than the sum of its proper divisors (4191584442248).

25673201998129 is an frugal number, since it uses more digits than its factorization.

25673201998129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447692 (or 723846 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 64.

The spelling of 25673201998129 in words is "twenty-five trillion, six hundred seventy-three billion, two hundred one million, nine hundred ninety-eight thousand, one hundred twenty-nine".