12705859577 has 2 divisors, whose sum is σ = 12705859578. Its totient is φ = 12705859576.

The previous prime is 12705859561. The next prime is 12705859589. The reversal of 12705859577 is 77595850721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10945553641 + 1760305936 = 104621^2 + 41956^2 .

It is an emirp because it is prime and its reverse (77595850721) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12705859577 - 2⁴ = 12705859561 is a prime.

It is a super-2 number, since 2×12705859577² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12705853577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6352929788 + 6352929789.

It is an arithmetic number, because the mean of its divisors is an integer number (6352929789).

Almost surely, 2^12705859577 is an apocalyptic number.

It is an amenable number.

12705859577 is a deficient number, since it is larger than the sum of its proper divisors (1).

12705859577 is an equidigital number, since it uses as much as digits as its factorization.

12705859577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6174000, while the sum is 56.

The spelling of 12705859577 in words is "twelve billion, seven hundred five million, eight hundred fifty-nine thousand, five hundred seventy-seven".