6806126800273 has 12 divisors (see below), whose sum is σ = 6976834204788. Its totient is φ = 6639502259040.

The previous prime is 6806126800261. The next prime is 6806126800283. The reversal of 6806126800273 is 3720086216086.

It can be written as a sum of positive squares in 2 ways, for example, as 5498241797889 + 1307885002384 = 2344833^2 + 1143628^2 .

It is not a de Polignac number, because 6806126800273 - 2²⁵ = 6806093245841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6806126800283) 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 11 ways as a sum of consecutive naturals, for example, 835618 + ... + 3782923.

It is an arithmetic number, because the mean of its divisors is an integer number (581402850399).

Almost surely, 2^{6806126800273} is an apocalyptic number.

It is an amenable number.

6806126800273 is a deficient number, since it is larger than the sum of its proper divisors (170707404515).

6806126800273 is an equidigital number, since it uses as much as digits as its factorization.

6806126800273 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4619424 (or 4619381 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

The spelling of 6806126800273 in words is "six trillion, eight hundred six billion, one hundred twenty-six million, eight hundred thousand, two hundred seventy-three".