6005505061061 has 16 divisors (see below), whose sum is σ = 6577748968320. Its totient is φ = 5437647790080.

The previous prime is 6005505061033. The next prime is 6005505061067. The reversal of 6005505061061 is 1601605055006.

It is not a de Polignac number, because 6005505061061 - 2³⁸ = 5730627154117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6005505061067) 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, 24009680 + ... + 24258518.

It is an arithmetic number, because the mean of its divisors is an integer number (411109310520).

Almost surely, 2^{6005505061061} is an apocalyptic number.

It is an amenable number.

6005505061061 is a deficient number, since it is larger than the sum of its proper divisors (572243907259).

6005505061061 is a wasteful number, since it uses less digits than its factorization.

6005505061061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257644.

The product of its (nonzero) digits is 27000, while the sum is 35.

The spelling of 6005505061061 in words is "six trillion, five billion, five hundred five million, sixty-one thousand, sixty-one".