125252624 has 80 divisors (see below), whose sum is σ = 293136000. Its totient is φ = 51762816.

The previous prime is 125252599. The next prime is 125252639. The reversal of 125252624 is 426252521.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158759 + ... + 159545.

It is an arithmetic number, because the mean of its divisors is an integer number (3664200).

Almost surely, 2^125252624 is an apocalyptic number.

125252624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125252624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146568000).

125252624 is an abundant number, since it is smaller than the sum of its proper divisors (167883376).

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

125252624 is an equidigital number, since it uses as much as digits as its factorization.

125252624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 825 counting only the distinct ones).

The product of its digits is 9600, while the sum is 29.

The square root of 125252624 is about 11191.6318738600. The cubic root of 125252624 is about 500.3366053428.

The spelling of 125252624 in words is "one hundred twenty-five million, two hundred fifty-two thousand, six hundred twenty-four".