5971727686321 has 2 divisors, whose sum is σ = 5971727686322. Its totient is φ = 5971727686320.

The previous prime is 5971727686277. The next prime is 5971727686361. The reversal of 5971727686321 is 1236867271795.

5971727686321 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4205390997025 + 1766336689296 = 2050705^2 + 1329036^2 .

It is a cyclic number.

It is not a de Polignac number, because 5971727686321 - 2³⁷ = 5834288732849 is a prime.

It is not a weakly prime, because it can be changed into another prime (5971727686361) 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, 2985863843160 + 2985863843161.

It is an arithmetic number, because the mean of its divisors is an integer number (2985863843161).

Almost surely, 2^{5971727686321} is an apocalyptic number.

It is an amenable number.

5971727686321 is a deficient number, since it is larger than the sum of its proper divisors (1).

5971727686321 is an equidigital number, since it uses as much as digits as its factorization.

5971727686321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 53343360, while the sum is 64.

The spelling of 5971727686321 in words is "five trillion, nine hundred seventy-one billion, seven hundred twenty-seven million, six hundred eighty-six thousand, three hundred twenty-one".