125630520 has 128 divisors (see below), whose sum is σ = 391184640. Its totient is φ = 32256000.

The previous prime is 125630509. The next prime is 125630521. The reversal of 125630520 is 25036521.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125630521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500395 + ... + 500645.

It is an arithmetic number, because the mean of its divisors is an integer number (3056130).

Almost surely, 2^125630520 is an apocalyptic number.

125630520 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 125630520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195592320).

125630520 is an abundant number, since it is smaller than the sum of its proper divisors (265554120).

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

125630520 is a wasteful number, since it uses less digits than its factorization.

125630520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 401 counting only the distinct ones).

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

The square root of 125630520 is about 11208.5021300796. The cubic root of 125630520 is about 500.8392837507.

The spelling of 125630520 in words is "one hundred twenty-five million, six hundred thirty thousand, five hundred twenty".