10519 has 4 divisors (see below), whose sum is σ = 10744. Its totient is φ = 10296.

The previous prime is 10513. The next prime is 10529. The reversal of 10519 is 91501.

10519 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 91501 = 37 ⋅2473.

It is a cyclic number.

It is not a de Polignac number, because 10519 - 2⁵ = 10487 is a prime.

It is a super-2 number, since 2×10519² = 221298722, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12 + ... + 145.

It is an arithmetic number, because the mean of its divisors is an integer number (2686).

2¹⁰⁵¹⁹ is an apocalyptic number.

10519 is a deficient number, since it is larger than the sum of its proper divisors (225).

10519 is an equidigital number, since it uses as much as digits as its factorization.

10519 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224.

The product of its (nonzero) digits is 45, while the sum is 16.

The square root of 10519 is about 102.5621762640. The cubic root of 10519 is about 21.9107958143.

It can be divided in two parts, 10 and 519, that added together give a square (529 = 23²).

The spelling of 10519 in words is "ten thousand, five hundred nineteen".