125104601601 has 16 divisors (see below), whose sum is σ = 211817315200. Its totient is φ = 71488343664.

The previous prime is 125104601537. The next prime is 125104601683. The reversal of 125104601601 is 106106401521.

125104601601 is a `hidden beast` number, since 1 + 2 + 5 + 10 + 46 + 0 + 1 + 601 = 666.

It is not a de Polignac number, because 125104601601 - 2⁶ = 125104601537 is a prime.

It is a super-2 number, since 2×125104601601² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125104601701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330964366 + ... + 330964743.

It is an arithmetic number, because the mean of its divisors is an integer number (13238582200).

Almost surely, 2^125104601601 is an apocalyptic number.

It is an amenable number.

125104601601 is a deficient number, since it is larger than the sum of its proper divisors (86712713599).

125104601601 is an equidigital number, since it uses as much as digits as its factorization.

125104601601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661929125 (or 661929119 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 125104601601 in words is "one hundred twenty-five billion, one hundred four million, six hundred one thousand, six hundred one".