6005506160101 has 16 divisors (see below), whose sum is σ = 6925972804096. Its totient is φ = 5100852496896.

The previous prime is 6005506160051. The next prime is 6005506160111. The reversal of 6005506160101 is 1010616055006.

It is a cyclic number.

It is not a de Polignac number, because 6005506160101 - 2⁷ = 6005506159973 is a prime.

It is a super-2 number, since 2×6005506160101² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6005506160111) 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 15 ways as a sum of consecutive naturals, for example, 7041516 + ... + 7848181.

It is an arithmetic number, because the mean of its divisors is an integer number (432873300256).

Almost surely, 2^{6005506160101} is an apocalyptic number.

It is an amenable number.

6005506160101 is a deficient number, since it is larger than the sum of its proper divisors (920466643995).

6005506160101 is a wasteful number, since it uses less digits than its factorization.

6005506160101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14890228.

The product of its (nonzero) digits is 5400, while the sum is 31.

The spelling of 6005506160101 in words is "six trillion, five billion, five hundred six million, one hundred sixty thousand, one hundred one".