11519 has 2 divisors, whose sum is σ = 11520. Its totient is φ = 11518.

The previous prime is 11503. The next prime is 11527. The reversal of 11519 is 91511.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 11519 - 2^{4} = 11503 is a prime.

It is a super-2 number, since 2×11519^{2} = 265374722, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a plaindrome in base 12 and base 16.

It is a nialpdrome in base 11 and base 13.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 11497 and 11506.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5759 + 5760.

It is an arithmetic number, because the mean of its divisors is an integer number (5760).

2^{11519} is an apocalyptic number.

11519 is a deficient number, since it is larger than the sum of its proper divisors (1).

11519 is an equidigital number, since it uses as much as digits as its factorization.

11519 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 45, while the sum is 17.

The square root of 11519 is about 107.3266043439. The cubic root of 11519 is about 22.5842111770.

The spelling of 11519 in words is "eleven thousand, five hundred nineteen".

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