125512506 has 48 divisors (see below), whose sum is σ = 312331968. Its totient is φ = 35683200.

The previous prime is 125512501. The next prime is 125512511. The reversal of 125512506 is 605215521.

It is an interprime number because it is at equal distance from previous prime (125512501) and next prime (125512511).

It is a self number, because there is not a number n which added to its sum of digits gives 125512506.

It is not an unprimeable number, because it can be changed into a prime (125512501) 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 23 ways as a sum of consecutive naturals, for example, 24226 + ... + 28946.

It is an arithmetic number, because the mean of its divisors is an integer number (6506916).

Almost surely, 2^125512506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125512506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156165984).

125512506 is an abundant number, since it is smaller than the sum of its proper divisors (186819462).

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

125512506 is a wasteful number, since it uses less digits than its factorization.

125512506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4947 (or 4944 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 125512506 is about 11203.2364073959. The cubic root of 125512506 is about 500.6824095440.

The spelling of 125512506 in words is "one hundred twenty-five million, five hundred twelve thousand, five hundred six".