125636414129 has 2 divisors, whose sum is σ = 125636414130. Its totient is φ = 125636414128.

The previous prime is 125636414077. The next prime is 125636414149. The reversal of 125636414129 is 921414636521.

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., 122343949729 + 3292464400 = 349777^2 + 57380^2 .

It is a cyclic number.

It is not a de Polignac number, because 125636414129 - 2³⁶ = 56916937393 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 125636414129.

It is not a weakly prime, because it can be changed into another prime (125636414149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62818207064 + 62818207065.

It is an arithmetic number, because the mean of its divisors is an integer number (62818207065).

Almost surely, 2^125636414129 is an apocalyptic number.

It is an amenable number.

125636414129 is a deficient number, since it is larger than the sum of its proper divisors (1).

125636414129 is an equidigital number, since it uses as much as digits as its factorization.

125636414129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 311040, while the sum is 44.

The spelling of 125636414129 in words is "one hundred twenty-five billion, six hundred thirty-six million, four hundred fourteen thousand, one hundred twenty-nine".