2813217201 has 12 divisors (see below), whose sum is σ = 4065040512. Its totient is φ = 1874783736.

The previous prime is 2813217191. The next prime is 2813217203. The reversal of 2813217201 is 1027123182.

It is not a de Polignac number, because 2813217201 - 2¹⁰ = 2813216177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2813217203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31581 + ... + 81386.

It is an arithmetic number, because the mean of its divisors is an integer number (338753376).

Almost surely, 2^2813217201 is an apocalyptic number.

It is an amenable number.

2813217201 is a deficient number, since it is larger than the sum of its proper divisors (1251823311).

2813217201 is a wasteful number, since it uses less digits than its factorization.

2813217201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115740 (or 115737 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 2813217201 is about 53039.7699938452. The cubic root of 2813217201 is about 1411.6740174763.

The spelling of 2813217201 in words is "two billion, eight hundred thirteen million, two hundred seventeen thousand, two hundred one".