125538041 has 2 divisors, whose sum is σ = 125538042. Its totient is φ = 125538040.

The previous prime is 125537981. The next prime is 125538043. The reversal of 125538041 is 140835521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 113316025 + 12222016 = 10645^2 + 3496^2 .

It is a cyclic number.

It is not a de Polignac number, because 125538041 - 2⁶ = 125537977 is a prime.

Together with 125538043, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 125537995 and 125538013.

It is not a weakly prime, because it can be changed into another prime (125538043) 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, 62769020 + 62769021.

It is an arithmetic number, because the mean of its divisors is an integer number (62769021).

Almost surely, 2^125538041 is an apocalyptic number.

It is an amenable number.

125538041 is a deficient number, since it is larger than the sum of its proper divisors (1).

125538041 is an equidigital number, since it uses as much as digits as its factorization.

125538041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 125538041 is about 11204.3759754839. The cubic root of 125538041 is about 500.7163611632.

The spelling of 125538041 in words is "one hundred twenty-five million, five hundred thirty-eight thousand, forty-one".