11005103505553 has 16 divisors (see below), whose sum is σ = 11679740645760. Its totient is φ = 10348179935104.

The previous prime is 11005103505527. The next prime is 11005103505569. The reversal of 11005103505553 is 35550530150011.

It is a cyclic number.

It is not a de Polignac number, because 11005103505553 - 2⁵ = 11005103505521 is a prime.

It is a super-2 number, since 2×11005103505553² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11005103500553) 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 15 ways as a sum of consecutive naturals, for example, 15184051 + ... + 15892312.

It is an arithmetic number, because the mean of its divisors is an integer number (729983790360).

Almost surely, 2^{11005103505553} is an apocalyptic number.

It is an amenable number.

11005103505553 is a deficient number, since it is larger than the sum of its proper divisors (674637140207).

11005103505553 is a wasteful number, since it uses less digits than its factorization.

11005103505553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31076648.

The product of its (nonzero) digits is 28125, while the sum is 34.

Adding to 11005103505553 its reverse (35550530150011), we get a palindrome (46555633655564).

The spelling of 11005103505553 in words is "eleven trillion, five billion, one hundred three million, five hundred five thousand, five hundred fifty-three".