6879707137 has 2 divisors, whose sum is σ = 6879707138. Its totient is φ = 6879707136.

The previous prime is 6879707069. The next prime is 6879707161. The reversal of 6879707137 is 7317079786.

It is a Cunningham number, because it is equal to 288⁴+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6879707136 + 1 = 82944^2 + 1^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-6879707137 is a prime.

It is not a weakly prime, because it can be changed into another prime (6879707167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a Pierpont prime, being equal to 2²⁰ ⋅ 3⁸ + 1.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3439853568 + 3439853569.

It is an arithmetic number, because the mean of its divisors is an integer number (3439853569).

It is a Proth number, since it is equal to 6561 ⋅ 2²⁰ + 1 and 6561 < 2²⁰.

Almost surely, 2^6879707137 is an apocalyptic number.

It is an amenable number.

6879707137 is a deficient number, since it is larger than the sum of its proper divisors (1).

6879707137 is an equidigital number, since it uses as much as digits as its factorization.

6879707137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3111696, while the sum is 55.

The square root of 6879707137 is about 82944.0000060282. Note that the first 5 decimals coincide. The cubic root of 6879707137 is about 1901.9100954555.

The spelling of 6879707137 in words is "six billion, eight hundred seventy-nine million, seven hundred seven thousand, one hundred thirty-seven".