827671176713 has 2 divisors, whose sum is σ = 827671176714. Its totient is φ = 827671176712.

The previous prime is 827671176677. The next prime is 827671176769. The reversal of 827671176713 is 317671176728.

It is an a-pointer prime, because the next prime (827671176769) can be obtained adding 827671176713 to its sum of digits (56).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 733331897104 + 94339279609 = 856348^2 + 307147^2 .

It is a cyclic number.

It is not a de Polignac number, because 827671176713 - 2⁶ = 827671176649 is a prime.

It is a super-2 number, since 2×827671176713² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (827671196713) 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 as a sum of consecutive naturals, namely, 413835588356 + 413835588357.

It is an arithmetic number, because the mean of its divisors is an integer number (413835588357).

Almost surely, 2^827671176713 is an apocalyptic number.

It is an amenable number.

827671176713 is a deficient number, since it is larger than the sum of its proper divisors (1).

827671176713 is an equidigital number, since it uses as much as digits as its factorization.

827671176713 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4148928, while the sum is 56.

The spelling of 827671176713 in words is "eight hundred twenty-seven billion, six hundred seventy-one million, one hundred seventy-six thousand, seven hundred thirteen".