11005635432289 has 2 divisors, whose sum is σ = 11005635432290. Its totient is φ = 11005635432288.

The previous prime is 11005635432229. The next prime is 11005635432293. The reversal of 11005635432289 is 98223453650011.

11005635432289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10405656608400 + 599978823889 = 3225780^2 + 774583^2 .

It is a cyclic number.

It is not a de Polignac number, because 11005635432289 - 2⁷ = 11005635432161 is a prime.

It is a super-2 number, since 2×11005635432289² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11005635432229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5502817716144 + 5502817716145.

It is an arithmetic number, because the mean of its divisors is an integer number (5502817716145).

Almost surely, 2^{11005635432289} is an apocalyptic number.

It is an amenable number.

11005635432289 is a deficient number, since it is larger than the sum of its proper divisors (1).

11005635432289 is an equidigital number, since it uses as much as digits as its factorization.

11005635432289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1555200, while the sum is 49.

It can be divided in two parts, 11005635 and 432289, that added together give a square (11437924 = 3382²).

The spelling of 11005635432289 in words is "eleven trillion, five billion, six hundred thirty-five million, four hundred thirty-two thousand, two hundred eighty-nine".