17251852996225 has 81 divisors (see below), whose sum is σ = 22386148120323. Its totient is φ = 13188304332000.

The previous prime is 17251852996199. The next prime is 17251852996243. The reversal of 17251852996225 is 52269925815271.

It is a happy number.

The square root of 17251852996225 is 4153535.

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

It can be written as a sum of positive squares in only one way, i.e., 6210667078641 + 11041185917584 = 2492121^2 + 3322828^2 .

It is not a de Polignac number, because 17251852996225 - 2¹⁹ = 17251852471937 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 81762336370 + ... + 81762336580.

Almost surely, 2^{17251852996225} is an apocalyptic number.

17251852996225 is the 4153535-th square number.

17251852996225 is the 2076768-th centered octagonal number.

It is an amenable number.

17251852996225 is a deficient number, since it is larger than the sum of its proper divisors (5134295124098).

17251852996225 is an frugal number, since it uses more digits than its factorization.

17251852996225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 374 counting only the distinct ones).

The product of its digits is 54432000, while the sum is 64.

The spelling of 17251852996225 in words is "seventeen trillion, two hundred fifty-one billion, eight hundred fifty-two million, nine hundred ninety-six thousand, two hundred twenty-five".