127864135193033 has 2 divisors, whose sum is σ = 127864135193034. Its totient is φ = 127864135193032.

The previous prime is 127864135193021. The next prime is 127864135193051. The reversal of 127864135193033 is 330391531468721.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 127687468812544 + 176666380489 = 11299888^2 + 420317^2 .

It is a cyclic number.

It is not a de Polignac number, because 127864135193033 - 2⁸ = 127864135192777 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 127864135193033.

It is not a weakly prime, because it can be changed into another prime (127864135193633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63932067596516 + 63932067596517.

It is an arithmetic number, because the mean of its divisors is an integer number (63932067596517).

It is a 1-persistent number, because it is pandigital, but 2⋅127864135193033 = 255728270386066 is not.

Almost surely, 2^{127864135193033} is an apocalyptic number.

It is an amenable number.

127864135193033 is a deficient number, since it is larger than the sum of its proper divisors (1).

127864135193033 is an equidigital number, since it uses as much as digits as its factorization.

127864135193033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9797760, while the sum is 56.

The spelling of 127864135193033 in words is "one hundred twenty-seven trillion, eight hundred sixty-four billion, one hundred thirty-five million, one hundred ninety-three thousand, thirty-three".