17085003826801 has 3 divisors (see below), whose sum is σ = 17085007960203. Its totient is φ = 17084999693400.

The previous prime is 17085003826777. The next prime is 17085003826811. The reversal of 17085003826801 is 10862830058071.

The square root of 17085003826801 is 4133401.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 3304574986801 + 13780428840000 = 1817849^2 + 3712200^2 .

It is not a de Polignac number, because 17085003826801 - 2⁴¹ = 14885980571249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (17085003826811) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 2066701 + ... + 6200101.

It is an arithmetic number, because the mean of its divisors is an integer number (5695002653401).

Almost surely, 2^{17085003826801} is an apocalyptic number.

17085003826801 is the 4133401-st square number.

17085003826801 is the 2066701-st centered octagonal number.

It is an amenable number.

17085003826801 is a deficient number, since it is larger than the sum of its proper divisors (4133402).

17085003826801 is an frugal number, since it uses more digits than its factorization.

17085003826801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8266802 (or 4133401 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 49.

Multiplying 17085003826801 by its sum of digits (49), we get a square (837165187513249 = 28933807²).

The spelling of 17085003826801 in words is "seventeen trillion, eighty-five billion, three million, eight hundred twenty-six thousand, eight hundred one".