125958121 has 2 divisors, whose sum is σ = 125958122. Its totient is φ = 125958120.

The previous prime is 125958113. The next prime is 125958127. The reversal of 125958121 is 121859521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98803600 + 27154521 = 9940^2 + 5211^2 .

It is a cyclic number.

It is not a de Polignac number, because 125958121 - 2³ = 125958113 is a prime.

It is not a weakly prime, because it can be changed into another prime (125958127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62979060 + 62979061.

It is an arithmetic number, because the mean of its divisors is an integer number (62979061).

Almost surely, 2^125958121 is an apocalyptic number.

It is an amenable number.

125958121 is a deficient number, since it is larger than the sum of its proper divisors (1).

125958121 is an equidigital number, since it uses as much as digits as its factorization.

125958121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7200, while the sum is 34.

The square root of 125958121 is about 11223.1065663657. The cubic root of 125958121 is about 501.2742445099.

The spelling of 125958121 in words is "one hundred twenty-five million, nine hundred fifty-eight thousand, one hundred twenty-one".