6666575666057 has 2 divisors, whose sum is σ = 6666575666058. Its totient is φ = 6666575666056.

The previous prime is 6666575666027. The next prime is 6666575666059. The reversal of 6666575666057 is 7506665756666.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6181966158736 + 484609507321 = 2486356^2 + 696139^2 .

It is a cyclic number.

It is not a de Polignac number, because 6666575666057 - 2²⁰ = 6666574617481 is a prime.

It is a super-2 number, since 2×6666575666057² (a number of 26 digits) contains 22 as substring.

Together with 6666575666059, 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 (6666575666059) 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, 3333287833028 + 3333287833029.

It is an arithmetic number, because the mean of its divisors is an integer number (3333287833029).

Almost surely, 2^{6666575666057} is an apocalyptic number.

It is an amenable number.

6666575666057 is a deficient number, since it is larger than the sum of its proper divisors (1).

6666575666057 is an equidigital number, since it uses as much as digits as its factorization.

6666575666057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1714608000, while the sum is 71.

The spelling of 6666575666057 in words is "six trillion, six hundred sixty-six billion, five hundred seventy-five million, six hundred sixty-six thousand, fifty-seven".