1135555311 has 64 divisors (see below), whose sum is σ = 1798594560. Its totient is φ = 629856000.

The previous prime is 1135555303. The next prime is 1135555313.

1135555311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1135555311 - 2³ = 1135555303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135555313) 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 63 ways as a sum of consecutive naturals, for example, 4190106 + ... + 4190376.

It is an arithmetic number, because the mean of its divisors is an integer number (28103040).

Almost surely, 2^1135555311 is an apocalyptic number.

1135555311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1135555311 is a deficient number, since it is larger than the sum of its proper divisors (663039249).

1135555311 is a wasteful number, since it uses less digits than its factorization.

1135555311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508.

The product of its digits is 5625, while the sum is 30.

The square root of 1135555311 is about 33698.0015876313. The cubic root of 1135555311 is about 1043.2845219253.

It can be divided in two parts, 11355 and 55311, that added together give a palindrome (66666).

The spelling of 1135555311 in words is "one billion, one hundred thirty-five million, five hundred fifty-five thousand, three hundred eleven".