40519 has 2 divisors, whose sum is σ = 40520. Its totient is φ = 40518.

The previous prime is 40507. The next prime is 40529. The reversal of 40519 is 91504.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 40519 - 2⁵ = 40487 is a prime.

It is a super-2 number, since 2×40519² = 3283578722, which contains 22 as substring.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 40496 and 40505.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20259 + 20260.

It is an arithmetic number, because the mean of its divisors is an integer number (20260).

2⁴⁰⁵¹⁹ is an apocalyptic number.

40519 is a deficient number, since it is larger than the sum of its proper divisors (1).

40519 is an equidigital number, since it uses as much as digits as its factorization.

40519 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 40519 is about 201.2933183193. The cubic root of 40519 is about 34.3467967014.

It can be divided in two parts, 405 and 19, that added together give a palindrome (424).

The spelling of 40519 in words is "forty thousand, five hundred nineteen".