125634206601 has 8 divisors (see below), whose sum is σ = 186124750560. Its totient is φ = 83756137716.

The previous prime is 125634206587. The next prime is 125634206629. The reversal of 125634206601 is 106602436521.

125634206601 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 3 + 42 + 0 + 6 + 601 = 666.

It is not a de Polignac number, because 125634206601 - 2¹⁴ = 125634190217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (125634906601) 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 7 ways as a sum of consecutive naturals, for example, 2326559355 + ... + 2326559408.

It is an arithmetic number, because the mean of its divisors is an integer number (23265593820).

Almost surely, 2^125634206601 is an apocalyptic number.

It is an amenable number.

125634206601 is a deficient number, since it is larger than the sum of its proper divisors (60490543959).

125634206601 is an equidigital number, since it uses as much as digits as its factorization.

125634206601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4653118772 (or 4653118766 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 125634206601 in words is "one hundred twenty-five billion, six hundred thirty-four million, two hundred six thousand, six hundred one".