125605013 has 2 divisors, whose sum is σ = 125605014. Its totient is φ = 125605012.

The previous prime is 125604989. The next prime is 125605057. The reversal of 125605013 is 310506521.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109788484 + 15816529 = 10478^2 + 3977^2 .

It is a cyclic number.

It is not a de Polignac number, because 125605013 - 2⁶ = 125604949 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 125605013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (125605213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62802506 + 62802507.

It is an arithmetic number, because the mean of its divisors is an integer number (62802507).

Almost surely, 2^125605013 is an apocalyptic number.

It is an amenable number.

125605013 is a deficient number, since it is larger than the sum of its proper divisors (1).

125605013 is an equidigital number, since it uses as much as digits as its factorization.

125605013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 125605013 is about 11207.3642307190. The cubic root of 125605013 is about 500.8053860102.

The spelling of 125605013 in words is "one hundred twenty-five million, six hundred five thousand, thirteen".