125547453705257 has 2 divisors, whose sum is σ = 125547453705258. Its totient is φ = 125547453705256.

The previous prime is 125547453705151. The next prime is 125547453705259. The reversal of 125547453705257 is 752507354745521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91224447220201 + 34323006485056 = 9551149^2 + 5858584^2 .

It is a cyclic number.

It is not a de Polignac number, because 125547453705257 - 2⁸ = 125547453705001 is a prime.

Together with 125547453705259, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 125547453705257.

It is not a weakly prime, because it can be changed into another prime (125547453705259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62773726852628 + 62773726852629.

It is an arithmetic number, because the mean of its divisors is an integer number (62773726852629).

Almost surely, 2^{125547453705257} is an apocalyptic number.

It is an amenable number.

125547453705257 is a deficient number, since it is larger than the sum of its proper divisors (1).

125547453705257 is an equidigital number, since it uses as much as digits as its factorization.

125547453705257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 205800000, while the sum is 62.

The spelling of 125547453705257 in words is "one hundred twenty-five trillion, five hundred forty-seven billion, four hundred fifty-three million, seven hundred five thousand, two hundred fifty-seven".