11005011353 has 16 divisors (see below), whose sum is σ = 13434854400. Its totient is φ = 8799415296.

The previous prime is 11005011317. The next prime is 11005011389. The reversal of 11005011353 is 35311050011.

It is an interprime number because it is at equal distance from previous prime (11005011317) and next prime (11005011389).

It is not a de Polignac number, because 11005011353 - 2¹⁴ = 11004994969 is a prime.

It is a super-2 number, since 2×11005011353² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11005011053) 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 15 ways as a sum of consecutive naturals, for example, 395753 + ... + 422646.

It is an arithmetic number, because the mean of its divisors is an integer number (839678400).

Almost surely, 2^11005011353 is an apocalyptic number.

It is an amenable number.

11005011353 is a deficient number, since it is larger than the sum of its proper divisors (2429843047).

11005011353 is a wasteful number, since it uses less digits than its factorization.

11005011353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818536.

The product of its (nonzero) digits is 225, while the sum is 20.

Adding to 11005011353 its reverse (35311050011), we get a palindrome (46316061364).

The spelling of 11005011353 in words is "eleven billion, five million, eleven thousand, three hundred fifty-three".