127166025256201 has 8 divisors (see below), whose sum is σ = 127191659317704. Its totient is φ = 127140392937600.

The previous prime is 127166025256099. The next prime is 127166025256217. The reversal of 127166025256201 is 102652520661721.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15671115672976 + 111494909583225 = 3958676^2 + 10559115^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 127166025256201 - 2⁷ = 127166025256073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127166025256241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150759315 + ... + 151600471.

It is an arithmetic number, because the mean of its divisors is an integer number (15898957414713).

Almost surely, 2^{127166025256201} is an apocalyptic number.

It is an amenable number.

127166025256201 is a deficient number, since it is larger than the sum of its proper divisors (25634061503).

127166025256201 is an equidigital number, since it uses as much as digits as its factorization.

127166025256201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871451.

The product of its (nonzero) digits is 604800, while the sum is 46.

The spelling of 127166025256201 in words is "one hundred twenty-seven trillion, one hundred sixty-six billion, twenty-five million, two hundred fifty-six thousand, two hundred one".