125968689 has 80 divisors (see below), whose sum is σ = 247188480. Its totient is φ = 61935840.

The previous prime is 125968669. The next prime is 125968693. The reversal of 125968689 is 986869521.

It is a happy number.

It is not a de Polignac number, because 125968689 - 2⁷ = 125968561 is a prime.

It is a super-3 number, since 3×125968689³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (125968649) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 117972 + ... + 119034.

It is an arithmetic number, because the mean of its divisors is an integer number (3089856).

Almost surely, 2^125968689 is an apocalyptic number.

125968689 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

125968689 is a deficient number, since it is larger than the sum of its proper divisors (121219791).

125968689 is a wasteful number, since it uses less digits than its factorization.

125968689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1103 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The square root of 125968689 is about 11223.5773708742. The cubic root of 125968689 is about 501.2882632383.

The spelling of 125968689 in words is "one hundred twenty-five million, nine hundred sixty-eight thousand, six hundred eighty-nine".