2817701317201 has 3 divisors (see below), whose sum is σ = 2817702995803. Its totient is φ = 2817699638600.

The previous prime is 2817701317169. The next prime is 2817701317237. The reversal of 2817701317201 is 1027131077182.

The square root of 2817701317201 is 1678601.

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., 1501725251601 + 1315976065600 = 1225449^2 + 1147160^2 .

It is not a de Polignac number, because 2817701317201 - 2⁵ = 2817701317169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2817701317261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 839301 + ... + 2517901.

Almost surely, 2^{2817701317201} is an apocalyptic number.

2817701317201 is the 1678601-st square number.

2817701317201 is the 839301-st centered octagonal number.

It is an amenable number.

2817701317201 is a deficient number, since it is larger than the sum of its proper divisors (1678602).

2817701317201 is an frugal number, since it uses more digits than its factorization.

2817701317201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3357202 (or 1678601 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 40.

The spelling of 2817701317201 in words is "two trillion, eight hundred seventeen billion, seven hundred one million, three hundred seventeen thousand, two hundred one".