6101310026889 has 405 divisors, whose sum is σ = 12305188324611. Its totient is φ = 2902446328320.

The previous prime is 6101310026887. The next prime is 6101310026969. The reversal of 6101310026889 is 9886200131016.

The square root of 6101310026889 is 2470083.

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

6101310026889 is a `hidden beast` number, since 610 + 1 + 3 + 1 + 0 + 0 + 26 + 8 + 8 + 9 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 405011324025 + 5696298702864 = 636405^2 + 2386692^2 .

It is not a de Polignac number, because 6101310026889 - 2¹ = 6101310026887 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6101310026881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 164900270979 + ... + 164900271015.

Almost surely, 2^{6101310026889} is an apocalyptic number.

6101310026889 is the 2470083-rd square number.

6101310026889 is the 1235042-nd centered octagonal number.

It is an amenable number.

6101310026889 is an abundant number, since it is smaller than the sum of its proper divisors (6203878297722).

6101310026889 is an equidigital number, since it uses as much as digits as its factorization.

6101310026889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 6101310026889 in words is "six trillion, one hundred one billion, three hundred ten million, twenty-six thousand, eight hundred eighty-nine".