125165004561 has 12 divisors (see below), whose sum is σ = 190309363920. Its totient is φ = 79051581720.

The previous prime is 125165004553. The next prime is 125165004617. The reversal of 125165004561 is 165400561521.

125165004561 is a `hidden beast` number, since 1 + 2 + 51 + 6 + 500 + 45 + 61 = 666.

It is not a de Polignac number, because 125165004561 - 2³ = 125165004553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (125165004361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 365979375 + ... + 365979716.

It is an arithmetic number, because the mean of its divisors is an integer number (15859113660).

Almost surely, 2^125165004561 is an apocalyptic number.

It is an amenable number.

125165004561 is a deficient number, since it is larger than the sum of its proper divisors (65144359359).

125165004561 is a wasteful number, since it uses less digits than its factorization.

125165004561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731959116 (or 731959113 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 125165004561 in words is "one hundred twenty-five billion, one hundred sixty-five million, four thousand, five hundred sixty-one".