127264810786601 has 2 divisors, whose sum is σ = 127264810786602. Its totient is φ = 127264810786600.

The previous prime is 127264810786501. The next prime is 127264810786649. The reversal of 127264810786601 is 106687018462721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79984045824400 + 47280764962201 = 8943380^2 + 6876101^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-127264810786601 is a prime.

It is a super-2 number, since 2×127264810786601² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (127264810786501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63632405393300 + 63632405393301.

It is an arithmetic number, because the mean of its divisors is an integer number (63632405393301).

Almost surely, 2^{127264810786601} is an apocalyptic number.

It is an amenable number.

127264810786601 is a deficient number, since it is larger than the sum of its proper divisors (1).

127264810786601 is an equidigital number, since it uses as much as digits as its factorization.

127264810786601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10838016, while the sum is 59.

The spelling of 127264810786601 in words is "one hundred twenty-seven trillion, two hundred sixty-four billion, eight hundred ten million, seven hundred eighty-six thousand, six hundred one".