1005116532111 has 18 divisors (see below), whose sum is σ = 1455122225648. Its totient is φ = 668563922520.

The previous prime is 1005116532037. The next prime is 1005116532137. The reversal of 1005116532111 is 1112356115001.

1005116532111 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 1 + 1 + 653 + 2 + 1 + 1 + 1 = 666.

1005116532111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1005116532111 - 2⁹ = 1005116531599 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 (1005116533111) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1481706 + ... + 2050776.

Almost surely, 2^{1005116532111} is an apocalyptic number.

1005116532111 is a deficient number, since it is larger than the sum of its proper divisors (450005693537).

1005116532111 is an frugal number, since it uses more digits than its factorization.

1005116532111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569963 (or 569517 counting only the distinct ones).

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

The spelling of 1005116532111 in words is "one trillion, five billion, one hundred sixteen million, five hundred thirty-two thousand, one hundred eleven".