6133890784289 has 8 divisors (see below), whose sum is σ = 6137124113160. Its totient is φ = 6130657816576.

The previous prime is 6133890784261. The next prime is 6133890784291. The reversal of 6133890784289 is 9824870983316.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 416928490000 + 5716962294289 = 645700^2 + 2391017^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 6133890784289 - 2²⁴ = 6133874007073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6133890787289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38090189 + ... + 38250885.

It is an arithmetic number, because the mean of its divisors is an integer number (767140514145).

Almost surely, 2^{6133890784289} is an apocalyptic number.

It is an amenable number.

6133890784289 is a deficient number, since it is larger than the sum of its proper divisors (3233328871).

6133890784289 is a wasteful number, since it uses less digits than its factorization.

6133890784289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180579.

The product of its (nonzero) digits is 125411328, while the sum is 68.

The spelling of 6133890784289 in words is "six trillion, one hundred thirty-three billion, eight hundred ninety million, seven hundred eighty-four thousand, two hundred eighty-nine".