25705133220529 has 27 divisors (see below), whose sum is σ = 30110114581281. Its totient is φ = 21880596860640.

The previous prime is 25705133220467. The next prime is 25705133220551. The reversal of 25705133220529 is 92502233150752.

The square root of 25705133220529 is 5070023.

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

It can be written as a sum of positive squares in 4 ways, for example, as 97080226929 + 25608052993600 = 311577^2 + 5060440^2 .

It is not a de Polignac number, because 25705133220529 - 2¹⁵ = 25705133187761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (25705133223529) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5288031559 + ... + 5288036419.

Almost surely, 2^{25705133220529} is an apocalyptic number.

25705133220529 is the 5070023-rd square number.

25705133220529 is the 2535012-nd centered octagonal number.

It is an amenable number.

25705133220529 is a deficient number, since it is larger than the sum of its proper divisors (4404981360752).

25705133220529 is an frugal number, since it uses more digits than its factorization.

25705133220529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10034 (or 5017 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 46.

The spelling of 25705133220529 in words is "twenty-five trillion, seven hundred five billion, one hundred thirty-three million, two hundred twenty thousand, five hundred twenty-nine".