125205630 has 96 divisors (see below), whose sum is σ = 346301568. Its totient is φ = 28728000.

The previous prime is 125205623. The next prime is 125205653. The reversal of 125205630 is 36502521.

It is a self number, because there is not a number n which added to its sum of digits gives 125205630.

It is a congruent number.

It is an unprimeable number.

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 in 47 ways as a sum of consecutive naturals, for example, 118605 + ... + 119655.

It is an arithmetic number, because the mean of its divisors is an integer number (3607308).

Almost surely, 2^125205630 is an apocalyptic number.

125205630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125205630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173150784).

125205630 is an abundant number, since it is smaller than the sum of its proper divisors (221095938).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125205630 is a wasteful number, since it uses less digits than its factorization.

125205630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 125205630 is about 11189.5321618019. The cubic root of 125205630 is about 500.2740231285.

The spelling of 125205630 in words is "one hundred twenty-five million, two hundred five thousand, six hundred thirty".