125966061 has 24 divisors (see below), whose sum is σ = 198165240. Its totient is φ = 76640256.

The previous prime is 125966041. The next prime is 125966077. The reversal of 125966061 is 160669521.

125966061 is a `hidden beast` number, since 1 + 2 + 596 + 6 + 0 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9455625 + 116510436 = 3075^2 + 10794^2 .

It is not a de Polignac number, because 125966061 - 2⁶ = 125965997 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125966011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4365 + ... + 16461.

It is an arithmetic number, because the mean of its divisors is an integer number (8256885).

Almost surely, 2^125966061 is an apocalyptic number.

It is an amenable number.

125966061 is a deficient number, since it is larger than the sum of its proper divisors (72199179).

125966061 is a wasteful number, since it uses less digits than its factorization.

125966061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12205 (or 12202 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 125966061 is about 11223.4602952922. The cubic root of 125966061 is about 501.2847772008.

The spelling of 125966061 in words is "one hundred twenty-five million, nine hundred sixty-six thousand, sixty-one".