127873853201 has 2 divisors, whose sum is σ = 127873853202. Its totient is φ = 127873853200.

The previous prime is 127873853189. The next prime is 127873853249. The reversal of 127873853201 is 102358378721.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101426962576 + 26446890625 = 318476^2 + 162625^2 .

It is an emirp because it is prime and its reverse (102358378721) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 127873853201 - 2²⁶ = 127806744337 is a prime.

It is not a weakly prime, because it can be changed into another prime (127873853251) 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, 63936926600 + 63936926601.

It is an arithmetic number, because the mean of its divisors is an integer number (63936926601).

Almost surely, 2^127873853201 is an apocalyptic number.

It is an amenable number.

127873853201 is a deficient number, since it is larger than the sum of its proper divisors (1).

127873853201 is an equidigital number, since it uses as much as digits as its factorization.

127873853201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 564480, while the sum is 47.

The spelling of 127873853201 in words is "one hundred twenty-seven billion, eight hundred seventy-three million, eight hundred fifty-three thousand, two hundred one".