1100606005061 has 16 divisors (see below), whose sum is σ = 1147581270000. Its totient is φ = 1054262888448.

The previous prime is 1100606005043. The next prime is 1100606005099. The reversal of 1100606005061 is 1605006060011.

It can be written as a sum of positive squares in 8 ways, for example, as 267944161 + 1100338060900 = 16369^2 + 1048970^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100606005061 - 2¹⁰ = 1100606004037 is a prime.

It is a super-2 number, since 2×1100606005061² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1100606005061.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100606005001) 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 15 ways as a sum of consecutive naturals, for example, 1743815 + ... + 2289563.

It is an arithmetic number, because the mean of its divisors is an integer number (71723829375).

Almost surely, 2^{1100606005061} is an apocalyptic number.

It is an amenable number.

1100606005061 is a deficient number, since it is larger than the sum of its proper divisors (46975264939).

1100606005061 is a wasteful number, since it uses less digits than its factorization.

1100606005061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546328.

The product of its (nonzero) digits is 1080, while the sum is 26.

The spelling of 1100606005061 in words is "one trillion, one hundred billion, six hundred six million, five thousand, sixty-one".