125685549662441 has 2 divisors, whose sum is σ = 125685549662442. Its totient is φ = 125685549662440.

The previous prime is 125685549662363. The next prime is 125685549662447. The reversal of 125685549662441 is 144266945586521.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105867204494041 + 19818345168400 = 10289179^2 + 4451780^2 .

It is a cyclic number.

It is not a de Polignac number, because 125685549662441 - 2³⁰ = 125684475920617 is a prime.

It is a super-3 number, since 3×125685549662441³ (a number of 43 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (125685549662447) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62842774831220 + 62842774831221.

It is an arithmetic number, because the mean of its divisors is an integer number (62842774831221).

Almost surely, 2^{125685549662441} is an apocalyptic number.

It is an amenable number.

125685549662441 is a deficient number, since it is larger than the sum of its proper divisors (1).

125685549662441 is an equidigital number, since it uses as much as digits as its factorization.

125685549662441 is an evil number, because the sum of its binary digits is even.

The product of its digits is 497664000, while the sum is 68.

The spelling of 125685549662441 in words is "one hundred twenty-five trillion, six hundred eighty-five billion, five hundred forty-nine million, six hundred sixty-two thousand, four hundred forty-one".