125633508 has 96 divisors (see below), whose sum is σ = 393630720. Its totient is φ = 30119040.

The previous prime is 125633507. The next prime is 125633533. The reversal of 125633508 is 805336521.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (125633503) 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, 6783 + ... + 17241.

It is an arithmetic number, because the mean of its divisors is an integer number (4100320).

Almost surely, 2^125633508 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125633508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196815360).

125633508 is an abundant number, since it is smaller than the sum of its proper divisors (267997212).

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

125633508 is a wasteful number, since it uses less digits than its factorization.

125633508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10497 (or 10495 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 125633508 is about 11208.6354209600. The cubic root of 125633508 is about 500.8432543779.

The spelling of 125633508 in words is "one hundred twenty-five million, six hundred thirty-three thousand, five hundred eight".