125582834601 has 24 divisors (see below), whose sum is σ = 208018923840. Its totient is φ = 71516689056.

The previous prime is 125582834593. The next prime is 125582834603. The reversal of 125582834601 is 106438285521.

125582834601 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 8 + 2 + 8 + 34 + 601 = 666.

It is not a de Polignac number, because 125582834601 - 2³ = 125582834593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (125582834603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3383211 + ... + 3420128.

It is an arithmetic number, because the mean of its divisors is an integer number (8667455160).

Almost surely, 2^125582834601 is an apocalyptic number.

It is an amenable number.

125582834601 is a deficient number, since it is larger than the sum of its proper divisors (82436089239).

125582834601 is a wasteful number, since it uses less digits than its factorization.

125582834601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6803645 (or 6803642 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 125582834601 in words is "one hundred twenty-five billion, five hundred eighty-two million, eight hundred thirty-four thousand, six hundred one".