20126256127177 has 2 divisors, whose sum is σ = 20126256127178. Its totient is φ = 20126256127176.

The previous prime is 20126256127163. The next prime is 20126256127181. The reversal of 20126256127177 is 77172165262102.

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., 11800399799241 + 8325856327936 = 3435171^2 + 2885456^2 .

It is a cyclic number.

It is not a de Polignac number, because 20126256127177 - 2⁴³ = 11330163104969 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20126256127177.

It is not a weakly prime, because it can be changed into another prime (20126256127477) 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, 10063128063588 + 10063128063589.

It is an arithmetic number, because the mean of its divisors is an integer number (10063128063589).

Almost surely, 2^{20126256127177} is an apocalyptic number.

It is an amenable number.

20126256127177 is a deficient number, since it is larger than the sum of its proper divisors (1).

20126256127177 is an equidigital number, since it uses as much as digits as its factorization.

20126256127177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 987840, while the sum is 49.

The spelling of 20126256127177 in words is "twenty trillion, one hundred twenty-six billion, two hundred fifty-six million, one hundred twenty-seven thousand, one hundred seventy-seven".