127861582640993 has 2 divisors, whose sum is σ = 127861582640994. Its totient is φ = 127861582640992.

The previous prime is 127861582640947. The next prime is 127861582641061. The reversal of 127861582640993 is 399046285168721.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73170351437089 + 54691231203904 = 8553967^2 + 7395352^2 .

It is a cyclic number.

It is not a de Polignac number, because 127861582640993 - 2²⁰ = 127861581592417 is a prime.

It is not a weakly prime, because it can be changed into another prime (127861582640093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63930791320496 + 63930791320497.

It is an arithmetic number, because the mean of its divisors is an integer number (63930791320497).

It is a 1-persistent number, because it is pandigital, but 2⋅127861582640993 = 255723165281986 is not.

Almost surely, 2^{127861582640993} is an apocalyptic number.

It is an amenable number.

127861582640993 is a deficient number, since it is larger than the sum of its proper divisors (1).

127861582640993 is an equidigital number, since it uses as much as digits as its factorization.

127861582640993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 313528320, while the sum is 71.

The spelling of 127861582640993 in words is "one hundred twenty-seven trillion, eight hundred sixty-one billion, five hundred eighty-two million, six hundred forty thousand, nine hundred ninety-three".