57120566721017 has 2 divisors, whose sum is σ = 57120566721018. Its totient is φ = 57120566721016.

The previous prime is 57120566720981. The next prime is 57120566721019. The reversal of 57120566721017 is 71012766502175.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28827997227241 + 28292569493776 = 5369171^2 + 5319076^2 .

It is a cyclic number.

It is not a de Polignac number, because 57120566721017 - 2¹⁸ = 57120566458873 is a prime.

It is a super-2 number, since 2×57120566721017² (a number of 28 digits) contains 22 as substring.

Together with 57120566721019, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (57120566721019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28560283360508 + 28560283360509.

It is an arithmetic number, because the mean of its divisors is an integer number (28560283360509).

Almost surely, 2^{57120566721017} is an apocalyptic number.

It is an amenable number.

57120566721017 is a deficient number, since it is larger than the sum of its proper divisors (1).

57120566721017 is an equidigital number, since it uses as much as digits as its factorization.

57120566721017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1234800, while the sum is 50.

The spelling of 57120566721017 in words is "fifty-seven trillion, one hundred twenty billion, five hundred sixty-six million, seven hundred twenty-one thousand, seventeen".