17130865713025 has 81 divisors (see below), whose sum is σ = 21958089948169. Its totient is φ = 13257868624000.

The previous prime is 17130865713011. The next prime is 17130865713053. The reversal of 17130865713025 is 52031756803171.

The square root of 17130865713025 is 4138945.

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 3564932938609 + 13565932774416 = 1888103^2 + 3683196^2 .

It is not a de Polignac number, because 17130865713025 - 2¹¹ = 17130865710977 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 17130865713025.

It is an unprimeable number.

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, 130769967210 + ... + 130769967340.

Almost surely, 2^{17130865713025} is an apocalyptic number.

17130865713025 is the 4138945-th square number.

17130865713025 is the 2069473-rd centered octagonal number.

It is an amenable number.

17130865713025 is a deficient number, since it is larger than the sum of its proper divisors (4827224235144).

17130865713025 is an frugal number, since it uses more digits than its factorization.

17130865713025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 49.

Multiplying 17130865713025 by its sum of digits (49), we get a square (839412419938225 = 28972615²).

The spelling of 17130865713025 in words is "seventeen trillion, one hundred thirty billion, eight hundred sixty-five million, seven hundred thirteen thousand, twenty-five".