11533053105 has 128 divisors (see below), whose sum is σ = 24733900800. Its totient is φ = 4980932352.

The previous prime is 11533053097. The next prime is 11533053127. The reversal of 11533053105 is 50135033511.

11533053105 is a `hidden beast` number, since 1 + 15 + 330 + 5 + 310 + 5 = 666.

It is not a de Polignac number, because 11533053105 - 2³ = 11533053097 is a prime.

It is a super-2 number, since 2×11533053105² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 9030727 + ... + 9032003.

It is an arithmetic number, because the mean of its divisors is an integer number (193233600).

Almost surely, 2^11533053105 is an apocalyptic number.

11533053105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11533053105 is an abundant number, since it is smaller than the sum of its proper divisors (13200847695).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11533053105 is a wasteful number, since it uses less digits than its factorization.

11533053105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 3375, while the sum is 27.

Adding to 11533053105 its reverse (50135033511), we get a palindrome (61668086616).

The spelling of 11533053105 in words is "eleven billion, five hundred thirty-three million, fifty-three thousand, one hundred five".