6872957311 has 16 divisors (see below), whose sum is σ = 7746600960. Its totient is φ = 6042811680.

The previous prime is 6872957309. The next prime is 6872957317. The reversal of 6872957311 is 1137592786.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 6872957311 - 2¹ = 6872957309 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6872957317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17410 + ... + 118528.

It is an arithmetic number, because the mean of its divisors is an integer number (484162560).

Almost surely, 2^6872957311 is an apocalyptic number.

6872957311 is a deficient number, since it is larger than the sum of its proper divisors (873643649).

6872957311 is a wasteful number, since it uses less digits than its factorization.

6872957311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101334.

The product of its digits is 635040, while the sum is 49.

The square root of 6872957311 is about 82903.3009656431. The cubic root of 6872957311 is about 1901.2878905346.

The spelling of 6872957311 in words is "six billion, eight hundred seventy-two million, nine hundred fifty-seven thousand, three hundred eleven".