125807010 has 144 divisors (see below), whose sum is σ = 372610368. Its totient is φ = 27054720.

The previous prime is 125806997. The next prime is 125807023. The reversal of 125807010 is 10708521.

It is an interprime number because it is at equal distance from previous prime (125806997) and next prime (125807023).

It is a Curzon number.

It is an unprimeable number.

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 in 71 ways as a sum of consecutive naturals, for example, 2062380 + ... + 2062440.

It is an arithmetic number, because the mean of its divisors is an integer number (2587572).

Almost surely, 2^125807010 is an apocalyptic number.

125807010 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 125807010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186305184).

125807010 is an abundant number, since it is smaller than the sum of its proper divisors (246803358).

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

125807010 is a wasteful number, since it uses less digits than its factorization.

125807010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 125807010 is about 11216.3724082254. The cubic root of 125807010 is about 501.0737059938.

The spelling of 125807010 in words is "one hundred twenty-five million, eight hundred seven thousand, ten".