3981679425313 has 2 divisors, whose sum is σ = 3981679425314. Its totient is φ = 3981679425312.

The previous prime is 3981679425263. The next prime is 3981679425359. The reversal of 3981679425313 is 3135249761893.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3144688648929 + 836990776384 = 1773327^2 + 914872^2 .

It is an emirp because it is prime and its reverse (3135249761893) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3981679425313 is a prime.

It is not a weakly prime, because it can be changed into another prime (3981679422313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1990839712656 + 1990839712657.

It is an arithmetic number, because the mean of its divisors is an integer number (1990839712657).

Almost surely, 2^{3981679425313} is an apocalyptic number.

It is an amenable number.

3981679425313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3981679425313 is an equidigital number, since it uses as much as digits as its factorization.

3981679425313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 29393280, while the sum is 61.

The spelling of 3981679425313 in words is "three trillion, nine hundred eighty-one billion, six hundred seventy-nine million, four hundred twenty-five thousand, three hundred thirteen".