17127140865025 has 9 divisors (see below), whose sum is σ = 21237680331331. Its totient is φ = 13701696138040.

The previous prime is 17127140864947. The next prime is 17127140865041. The reversal of 17127140865025 is 52056804172171.

The square root of 17127140865025 is 4138495.

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., 6165770711409 + 10961370153616 = 2483097^2 + 3310796^2 .

It is not a de Polignac number, because 17127140865025 - 2¹⁷ = 17127140733953 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 17127140865025.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20278626 + ... + 21106324.

Almost surely, 2^{17127140865025} is an apocalyptic number.

17127140865025 is the 4138495-th square number.

17127140865025 is the 2069248-th centered octagonal number.

It is an amenable number.

17127140865025 is a deficient number, since it is larger than the sum of its proper divisors (4110539466306).

17127140865025 is an frugal number, since it uses more digits than its factorization.

17127140865025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655408 (or 827704 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 49.

Multiplying 17127140865025 by its sum of digits (49), we get a square (839229902386225 = 28969465²).

The spelling of 17127140865025 in words is "seventeen trillion, one hundred twenty-seven billion, one hundred forty million, eight hundred sixty-five thousand, twenty-five".