11005205001 has 16 divisors (see below), whose sum is σ = 17223076224. Its totient is φ = 6118723584.

The previous prime is 11005204993. The next prime is 11005205039. The reversal of 11005205001 is 10050250011.

11005205001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11005205001 - 2³ = 11005204993 is a prime.

It is a super-2 number, since 2×11005205001² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11005205201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7081080 + ... + 7082633.

It is an arithmetic number, because the mean of its divisors is an integer number (1076442264).

Almost surely, 2^11005205001 is an apocalyptic number.

It is an amenable number.

11005205001 is a deficient number, since it is larger than the sum of its proper divisors (6217871223).

11005205001 is a wasteful number, since it uses less digits than its factorization.

11005205001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14163760.

The product of its (nonzero) digits is 50, while the sum is 15.

Adding to 11005205001 its reverse (10050250011), we get a palindrome (21055455012).

The spelling of 11005205001 in words is "eleven billion, five million, two hundred five thousand, one".