125525520 has 120 divisors (see below), whose sum is σ = 423662616. Its totient is φ = 33306624.

The previous prime is 125525489. The next prime is 125525531. The reversal of 125525520 is 25525521.

It can be written as a sum of positive squares in 4 ways, for example, as 9144576 + 116380944 = 3024^2 + 10788^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225082 + ... + 225638.

Almost surely, 2^125525520 is an apocalyptic number.

125525520 is a gapful number since it is divisible by the number (10) 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 125525520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211831308).

125525520 is an abundant number, since it is smaller than the sum of its proper divisors (298137096).

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

125525520 is a wasteful number, since it uses less digits than its factorization.

125525520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The square root of 125525520 is about 11203.8172066488. The cubic root of 125525520 is about 500.6997136781.

Subtracting from 125525520 its reverse (25525521), we obtain a palindrome (99999999).

The spelling of 125525520 in words is "one hundred twenty-five million, five hundred twenty-five thousand, five hundred twenty".