25135412871529 has 27 divisors (see below), whose sum is σ = 25688316300357. Its totient is φ = 24594338428800.

The previous prime is 25135412871497. The next prime is 25135412871533. The reversal of 25135412871529 is 92517821453152.

The square root of 25135412871529 is 5013523.

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 13320711560025 + 11814701311504 = 3649755^2 + 3437252^2 .

It is not a de Polignac number, because 25135412871529 - 2⁵ = 25135412871497 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 25135412871529.

It is not an unprimeable number, because it can be changed into a prime (25135412871589) 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, 85786391907 + ... + 85786392199.

Almost surely, 2^{25135412871529} is an apocalyptic number.

25135412871529 is the 5013523-rd square number.

25135412871529 is the 2506762-nd centered octagonal number.

It is an amenable number.

25135412871529 is a deficient number, since it is larger than the sum of its proper divisors (552903428828).

25135412871529 is an frugal number, since it uses more digits than its factorization.

25135412871529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 605 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 55.

The spelling of 25135412871529 in words is "twenty-five trillion, one hundred thirty-five billion, four hundred twelve million, eight hundred seventy-one thousand, five hundred twenty-nine".