6289316638201 has 9 divisors (see below), whose sum is σ = 6574714553071. Its totient is φ = 6015812915992.

The previous prime is 6289316638181. The next prime is 6289316638279. The reversal of 6289316638201 is 1028366139826.

The square root of 6289316638201 is 2507851.

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., 211494213225 + 6077822424976 = 459885^2 + 2465324^2 .

It is not a de Polignac number, because 6289316638201 - 2²⁹ = 6288779767289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6289316639201) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 57626055 + ... + 57735091.

Almost surely, 2^{6289316638201} is an apocalyptic number.

6289316638201 is the 2507851-st square number.

6289316638201 is the 1253926-th centered octagonal number.

It is an amenable number.

6289316638201 is a deficient number, since it is larger than the sum of its proper divisors (285397914870).

6289316638201 is an frugal number, since it uses more digits than its factorization.

6289316638201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218120 (or 109060 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 55.

The spelling of 6289316638201 in words is "six trillion, two hundred eighty-nine billion, three hundred sixteen million, six hundred thirty-eight thousand, two hundred one".