1005511113 has 24 divisors (see below), whose sum is σ = 1504269000. Its totient is φ = 646458624.

The previous prime is 1005511093. The next prime is 1005511123. The reversal of 1005511113 is 3111155001.

1005511113 is a `hidden beast` number, since 1 + 0 + 0 + 551 + 1 + 113 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 56070144 + 949440969 = 7488^2 + 30813^2 .

It is not a de Polignac number, because 1005511113 - 2¹⁰ = 1005510089 is a prime.

It is a super-2 number, since 2×1005511113² = 2022105196732997538, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1005511123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289813 + ... + 293261.

It is an arithmetic number, because the mean of its divisors is an integer number (62677875).

Almost surely, 2^1005511113 is an apocalyptic number.

It is an amenable number.

1005511113 is a deficient number, since it is larger than the sum of its proper divisors (498757887).

1005511113 is a wasteful number, since it uses less digits than its factorization.

1005511113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4601 (or 4598 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 18.

The square root of 1005511113 is about 31709.7952216661. The cubic root of 1005511113 is about 1001.8336732539.

Adding to 1005511113 its reverse (3111155001), we get a palindrome (4116666114).

The spelling of 1005511113 in words is "one billion, five million, five hundred eleven thousand, one hundred thirteen".