125809629 has 24 divisors (see below), whose sum is σ = 185902080. Its totient is φ = 75620160.

The previous prime is 125809603. The next prime is 125809643. The reversal of 125809629 is 926908521.

It is not a de Polignac number, because 125809629 - 2⁵ = 125809597 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125809699) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44737 + ... + 47465.

It is an arithmetic number, because the mean of its divisors is an integer number (7745920).

Almost surely, 2^125809629 is an apocalyptic number.

It is an amenable number.

125809629 is a deficient number, since it is larger than the sum of its proper divisors (60092451).

125809629 is a wasteful number, since it uses less digits than its factorization.

125809629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2881 (or 2870 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 125809629 is about 11216.4891565944. The cubic root of 125809629 is about 501.0771830203.

The spelling of 125809629 in words is "one hundred twenty-five million, eight hundred nine thousand, six hundred twenty-nine".