6872671825729 has 2 divisors, whose sum is σ = 6872671825730. Its totient is φ = 6872671825728.

The previous prime is 6872671825727. The next prime is 6872671825819. The reversal of 6872671825729 is 9275281762786.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4597280592129 + 2275391233600 = 2144127^2 + 1508440^2 .

It is a cyclic number.

It is not a de Polignac number, because 6872671825729 - 2¹ = 6872671825727 is a prime.

It is a super-2 number, since 2×6872671825729² (a number of 26 digits) contains 22 as substring.

Together with 6872671825727, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (6872671825727) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3436335912864 + 3436335912865.

It is an arithmetic number, because the mean of its divisors is an integer number (3436335912865).

Almost surely, 2^{6872671825729} is an apocalyptic number.

It is an amenable number.

6872671825729 is a deficient number, since it is larger than the sum of its proper divisors (1).

6872671825729 is an equidigital number, since it uses as much as digits as its factorization.

6872671825729 is an evil number, because the sum of its binary digits is even.

The product of its digits is 284497920, while the sum is 70.

The spelling of 6872671825729 in words is "six trillion, eight hundred seventy-two billion, six hundred seventy-one million, eight hundred twenty-five thousand, seven hundred twenty-nine".