1135445311 has 16 divisors (see below), whose sum is σ = 1524515328. Its totient is φ = 816703200.

The previous prime is 1135445293. The next prime is 1135445329.

1135445311 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (1135445293) and next prime (1135445329).

It is a cyclic number.

It is not a de Polignac number, because 1135445311 - 2⁵ = 1135445279 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1135445311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135445611) 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, 566155 + ... + 568156.

It is an arithmetic number, because the mean of its divisors is an integer number (95282208).

Almost surely, 2^1135445311 is an apocalyptic number.

1135445311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1135445311 is a deficient number, since it is larger than the sum of its proper divisors (389070017).

1135445311 is a wasteful number, since it uses less digits than its factorization.

1135445311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134342.

The product of its digits is 3600, while the sum is 28.

The square root of 1135445311 is about 33696.3694038393. The cubic root of 1135445311 is about 1043.2508335610.

It can be divided in two parts, 11354 and 45311, that added together give a palindrome (56665).

The spelling of 1135445311 in words is "one billion, one hundred thirty-five million, four hundred forty-five thousand, three hundred eleven".