171008844391225 has 27 divisors (see below), whose sum is σ = 223800568890093. Its totient is φ = 129605761571040.

The previous prime is 171008844391127. The next prime is 171008844391249. The reversal of 171008844391225 is 522193448800171.

The square root of 171008844391225 is 13077035.

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 7198129482489 + 163810714908736 = 2682933^2 + 12798856^2 .

It is a de Polignac number, because none of the positive numbers 2^k-171008844391225 is a prime.

It is a super-3 number, since 3×171008844391225³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1242249499 + ... + 1242387151.

Almost surely, 2^{171008844391225} is an apocalyptic number.

171008844391225 is the 13077035-th square number.

171008844391225 is the 6538518-th centered octagonal number.

It is an amenable number.

171008844391225 is a deficient number, since it is larger than the sum of its proper divisors (52791724498868).

171008844391225 is an frugal number, since it uses more digits than its factorization.

171008844391225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275354 (or 137677 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 55.

The spelling of 171008844391225 in words is "one hundred seventy-one trillion, eight billion, eight hundred forty-four million, three hundred ninety-one thousand, two hundred twenty-five".