125006952 has 64 divisors (see below), whose sum is σ = 362090880. Its totient is φ = 35223552.

The previous prime is 125006927. The next prime is 125006957. The reversal of 125006952 is 259600521.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (125006957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7168 + ... + 17360.

It is an arithmetic number, because the mean of its divisors is an integer number (5657670).

Almost surely, 2^125006952 is an apocalyptic number.

125006952 is a gapful number since it is divisible by the number (12) 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 125006952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181045440).

125006952 is an abundant number, since it is smaller than the sum of its proper divisors (237083928).

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

125006952 is a wasteful number, since it uses less digits than its factorization.

125006952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10282 (or 10278 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 125006952 is about 11180.6507860679. The cubic root of 125006952 is about 500.0092691615.

The spelling of 125006952 in words is "one hundred twenty-five million, six thousand, nine hundred fifty-two".