125820029 has 2 divisors, whose sum is σ = 125820030. Its totient is φ = 125820028.

The previous prime is 125820007. The next prime is 125820031. The reversal of 125820029 is 920028521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82391929 + 43428100 = 9077^2 + 6590^2 .

It is a cyclic number.

It is not a de Polignac number, because 125820029 - 2¹² = 125815933 is a prime.

Together with 125820031, 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 = 125819983 and 125820010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (125820529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62910014 + 62910015.

It is an arithmetic number, because the mean of its divisors is an integer number (62910015).

Almost surely, 2^125820029 is an apocalyptic number.

It is an amenable number.

125820029 is a deficient number, since it is larger than the sum of its proper divisors (1).

125820029 is an equidigital number, since it uses as much as digits as its factorization.

125820029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 125820029 is about 11216.9527501902. The cubic root of 125820029 is about 501.0909897513.

The spelling of 125820029 in words is "one hundred twenty-five million, eight hundred twenty thousand, twenty-nine".