125007570 has 64 divisors (see below), whose sum is σ = 338100480. Its totient is φ = 32860800.

The previous prime is 125007569. The next prime is 125007577. The reversal of 125007570 is 75700521.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (125007577) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 15910 + ... + 22430.

It is an arithmetic number, because the mean of its divisors is an integer number (5282820).

Almost surely, 2^125007570 is an apocalyptic number.

125007570 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 125007570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169050240).

125007570 is an abundant number, since it is smaller than the sum of its proper divisors (213092910).

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

125007570 is a wasteful number, since it uses less digits than its factorization.

125007570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6608 (or 6602 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 125007570 is about 11180.6784230654. The cubic root of 125007570 is about 500.0100931296.

The spelling of 125007570 in words is "one hundred twenty-five million, seven thousand, five hundred seventy".