11006501355311 has 48 divisors (see below), whose sum is σ = 14588068222080. Its totient is φ = 8203260985920.

The previous prime is 11006501355263. The next prime is 11006501355313. The reversal of 11006501355311 is 11355310560011.

It is a de Polignac number, because none of the positive numbers 2^k-11006501355311 is a prime.

It is a super-2 number, since 2×11006501355311² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11006501355313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3500465 + ... + 5853738.

It is an arithmetic number, because the mean of its divisors is an integer number (303918087960).

Almost surely, 2^{11006501355311} is an apocalyptic number.

11006501355311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11006501355311 is a deficient number, since it is larger than the sum of its proper divisors (3581566866769).

11006501355311 is a wasteful number, since it uses less digits than its factorization.

11006501355311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9354324 (or 9354317 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 32.

The spelling of 11006501355311 in words is "eleven trillion, six billion, five hundred one million, three hundred fifty-five thousand, three hundred eleven".