127248706657 has 2 divisors, whose sum is σ = 127248706658. Its totient is φ = 127248706656.

The previous prime is 127248706589. The next prime is 127248706679. The reversal of 127248706657 is 756607842721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122348846656 + 4899860001 = 349784^2 + 69999^2 .

It is an emirp because it is prime and its reverse (756607842721) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 127248706657 - 2¹⁵ = 127248673889 is a prime.

It is a super-2 number, since 2×127248706657² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 127248706598 and 127248706607.

It is not a weakly prime, because it can be changed into another prime (127248706687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63624353328 + 63624353329.

It is an arithmetic number, because the mean of its divisors is an integer number (63624353329).

Almost surely, 2^127248706657 is an apocalyptic number.

It is an amenable number.

127248706657 is a deficient number, since it is larger than the sum of its proper divisors (1).

127248706657 is an equidigital number, since it uses as much as digits as its factorization.

127248706657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7902720, while the sum is 55.

The spelling of 127248706657 in words is "one hundred twenty-seven billion, two hundred forty-eight million, seven hundred six thousand, six hundred fifty-seven".