125583568 has 40 divisors (see below), whose sum is σ = 266518656. Its totient is φ = 56851200.

The previous prime is 125583541. The next prime is 125583571. The reversal of 125583568 is 865385521.

It is a super-2 number, since 2×125583568² = 31542465103221248, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46380 + ... + 49012.

Almost surely, 2^125583568 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 125583568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133259328).

125583568 is an abundant number, since it is smaller than the sum of its proper divisors (140935088).

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

125583568 is a wasteful number, since it uses less digits than its factorization.

125583568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2923 (or 2917 counting only the distinct ones).

The product of its digits is 288000, while the sum is 43.

The square root of 125583568 is about 11206.4074528816. The cubic root of 125583568 is about 500.7768829473.

The spelling of 125583568 in words is "one hundred twenty-five million, five hundred eighty-three thousand, five hundred sixty-eight".