127825087831297 has 2 divisors, whose sum is σ = 127825087831298. Its totient is φ = 127825087831296.

The previous prime is 127825087831267. The next prime is 127825087831303. The reversal of 127825087831297 is 792138780528721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122907910195456 + 4917177635841 = 11086384^2 + 2217471^2 .

It is a cyclic number.

It is not a de Polignac number, because 127825087831297 - 2⁷ = 127825087831169 is a prime.

It is not a weakly prime, because it can be changed into another prime (127825087831267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63912543915648 + 63912543915649.

It is an arithmetic number, because the mean of its divisors is an integer number (63912543915649).

Almost surely, 2^{127825087831297} is an apocalyptic number.

It is an amenable number.

127825087831297 is a deficient number, since it is larger than the sum of its proper divisors (1).

127825087831297 is an equidigital number, since it uses as much as digits as its factorization.

127825087831297 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189665280, while the sum is 70.

The spelling of 127825087831297 in words is "one hundred twenty-seven trillion, eight hundred twenty-five billion, eighty-seven million, eight hundred thirty-one thousand, two hundred ninety-seven".