25958036579409 has 81 divisors (see below), whose sum is σ = 41916715873851. Its totient is φ = 15468125508000.

The previous prime is 25958036579389. The next prime is 25958036579459. The reversal of 25958036579409 is 90497563085952.

It is a happy number.

The square root of 25958036579409 is 5094903.

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

25958036579409 is a `hidden beast` number, since 2 + 5 + 9 + 5 + 8 + 0 + 3 + 6 + 579 + 40 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 844107075009 + 25113929504400 = 918753^2 + 5011380^2 .

It is not a de Polignac number, because 25958036579409 - 2²¹ = 25958034482257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (25958036579459) 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 80 ways as a sum of consecutive naturals, for example, 10256038474 + ... + 10256041004.

Almost surely, 2^{25958036579409} is an apocalyptic number.

25958036579409 is the 5094903-rd square number.

25958036579409 is the 2547452-nd centered octagonal number.

It is an amenable number.

25958036579409 is a deficient number, since it is larger than the sum of its proper divisors (15958679294442).

25958036579409 is an frugal number, since it uses more digits than its factorization.

25958036579409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5212 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 734832000, while the sum is 72.

The spelling of 25958036579409 in words is "twenty-five trillion, nine hundred fifty-eight billion, thirty-six million, five hundred seventy-nine thousand, four hundred nine".