1005605061111 has 64 divisors (see below), whose sum is σ = 1706345932800. Its totient is φ = 573372753408.

The previous prime is 1005605061091. The next prime is 1005605061169. The reversal of 1005605061111 is 1111605065001.

1005605061111 is a `hidden beast` number, since 100 + 56 + 0 + 506 + 1 + 1 + 1 + 1 = 666.

It is not a de Polignac number, because 1005605061111 - 2¹⁵ = 1005605028343 is a prime.

It is a super-2 number, since 2×1005605061111² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005605061191) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 189841615 + ... + 189846911.

It is an arithmetic number, because the mean of its divisors is an integer number (26661655200).

Almost surely, 2^{1005605061111} is an apocalyptic number.

1005605061111 is a deficient number, since it is larger than the sum of its proper divisors (700740871689).

1005605061111 is a wasteful number, since it uses less digits than its factorization.

1005605061111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7325 (or 7319 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 1005605061111 in words is "one trillion, five billion, six hundred five million, sixty-one thousand, one hundred eleven".