11005513 has 2 divisors, whose sum is σ = 11005514. Its totient is φ = 11005512.

The previous prime is 11005493. The next prime is 11005531. The reversal of 11005513 is 31550011.

11005513 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (11005531) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8838729 + 2166784 = 2973^2 + 1472^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11005513 is a prime.

It is a super-2 number, since 2×11005513² = 242242632786338, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11005573) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5502756 + 5502757.

It is an arithmetic number, because the mean of its divisors is an integer number (5502757).

Almost surely, 2^11005513 is an apocalyptic number.

It is an amenable number.

11005513 is a deficient number, since it is larger than the sum of its proper divisors (1).

11005513 is an equidigital number, since it uses as much as digits as its factorization.

11005513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 75, while the sum is 16.

The square root of 11005513 is about 3317.4558022678. The cubic root of 11005513 is about 222.4351567979.

Adding to 11005513 its reverse (31550011), we get a palindrome (42555524).

The spelling of 11005513 in words is "eleven million, five thousand, five hundred thirteen".