45519 has 4 divisors (see below), whose sum is σ = 60696. Its totient is φ = 30344.

The previous prime is 45503. The next prime is 45523. The reversal of 45519 is 91554.

45519 is nontrivially palindromic in base 9.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 45519 - 2⁴ = 45503 is a prime.

It is a super-2 number, since 2×45519² = 4143958722, which contains 22 as substring.

It is a D-number.

45519 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45569) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7584 + ... + 7589.

It is an arithmetic number, because the mean of its divisors is an integer number (15174).

2⁴⁵⁵¹⁹ is an apocalyptic number.

45519 is a deficient number, since it is larger than the sum of its proper divisors (15177).

45519 is a wasteful number, since it uses less digits than its factorization.

45519 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15176.

The product of its digits is 900, while the sum is 24.

The square root of 45519 is about 213.3518221155. The cubic root of 45519 is about 35.7051534746.

It can be divided in two parts, 4551 and 9, that added together give a triangular number (4560 = T₉₅).

The spelling of 45519 in words is "forty-five thousand, five hundred nineteen".