10505506011011 has 8 divisors (see below), whose sum is σ = 11474683405248. Its totient is φ = 9538683849000.

The previous prime is 10505506010969. The next prime is 10505506011017. The reversal of 10505506011011 is 11011060550501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10505506011011 - 2⁶ = 10505506010947 is a prime.

It is a super-2 number, since 2×10505506011011² (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 (10505506011017) 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 7 ways as a sum of consecutive naturals, for example, 588798725 + ... + 588816566.

It is an arithmetic number, because the mean of its divisors is an integer number (1434335425656).

Almost surely, 2^{10505506011011} is an apocalyptic number.

10505506011011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10505506011011 is a deficient number, since it is larger than the sum of its proper divisors (969177394237).

10505506011011 is a wasteful number, since it uses less digits than its factorization.

10505506011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177616113.

The product of its (nonzero) digits is 750, while the sum is 26.

Adding to 10505506011011 its reverse (11011060550501), we get a palindrome (21516566561512).

The spelling of 10505506011011 in words is "ten trillion, five hundred five billion, five hundred six million, eleven thousand, eleven".