6891134259409 has 9 divisors (see below), whose sum is σ = 7272967191273. Its totient is φ = 6528395730852.

The previous prime is 6891134259397. The next prime is 6891134259421. The reversal of 6891134259409 is 9049524311986.

The square root of 6891134259409 is 2625097.

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

It is an interprime number because it is at equal distance from previous prime (6891134259397) and next prime (6891134259421).

It is a de Polignac number, because none of the positive numbers 2^k-6891134259409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6891134259469) 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 8 ways as a sum of consecutive naturals, for example, 49807762 + ... + 49945924.

It is an arithmetic number, because the mean of its divisors is an integer number (808107465697).

Almost surely, 2^{6891134259409} is an apocalyptic number.

6891134259409 is the 2625097-th square number.

6891134259409 is the 1312549-th centered octagonal number.

It is an amenable number.

6891134259409 is a deficient number, since it is larger than the sum of its proper divisors (381832931864).

6891134259409 is an frugal number, since it uses more digits than its factorization.

6891134259409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276364 (or 138182 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 61.

The spelling of 6891134259409 in words is "six trillion, eight hundred ninety-one billion, one hundred thirty-four million, two hundred fifty-nine thousand, four hundred nine".