25172743259089 has 2 divisors, whose sum is σ = 25172743259090. Its totient is φ = 25172743259088.

The previous prime is 25172743258969. The next prime is 25172743259179. The reversal of 25172743259089 is 98095234727152.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14759427240000 + 10413316019089 = 3841800^2 + 3226967^2 .

It is a cyclic number.

It is not a de Polignac number, because 25172743259089 - 2¹⁵ = 25172743226321 is a prime.

It is a super-2 number, since 2×25172743259089² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 25172743259089.

It is not a weakly prime, because it can be changed into another prime (25172743359089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12586371629544 + 12586371629545.

It is an arithmetic number, because the mean of its divisors is an integer number (12586371629545).

Almost surely, 2^{25172743259089} is an apocalyptic number.

It is an amenable number.

25172743259089 is a deficient number, since it is larger than the sum of its proper divisors (1).

25172743259089 is an equidigital number, since it uses as much as digits as its factorization.

25172743259089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 76204800, while the sum is 64.

The spelling of 25172743259089 in words is "twenty-five trillion, one hundred seventy-two billion, seven hundred forty-three million, two hundred fifty-nine thousand, eighty-nine".