1116511011 has 72 divisors (see below), whose sum is σ = 2135787264. Its totient is φ = 554732640.

The previous prime is 1116510979. The next prime is 1116511021. The reversal of 1116511011 is 1101156111.

It is a happy number.

1116511011 is a `hidden beast` number, since 1 + 1 + 1 + 651 + 1 + 0 + 11 = 666.

It is not a de Polignac number, because 1116511011 - 2⁵ = 1116510979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1116511021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 106570 + ... + 116576.

It is an arithmetic number, because the mean of its divisors is an integer number (29663712).

Almost surely, 2^1116511011 is an apocalyptic number.

1116511011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1116511011 is a deficient number, since it is larger than the sum of its proper divisors (1019276253).

1116511011 is a wasteful number, since it uses less digits than its factorization.

1116511011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10061 (or 10051 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 18.

The square root of 1116511011 is about 33414.2336587269. The cubic root of 1116511011 is about 1037.4193323065.

Adding to 1116511011 its reverse (1101156111), we get a palindrome (2217667122).

The spelling of 1116511011 in words is "one billion, one hundred sixteen million, five hundred eleven thousand, eleven".