505358519 has 2 divisors, whose sum is σ = 505358520. Its totient is φ = 505358518.

The previous prime is 505358501. The next prime is 505358521. The reversal of 505358519 is 915853505.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 505358519 - 2²⁰ = 504309943 is a prime.

It is a super-2 number, since 2×505358519² = 510774465451746722, which contains 22 as substring.

Together with 505358521, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (505358419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252679259 + 252679260.

It is an arithmetic number, because the mean of its divisors is an integer number (252679260).

Almost surely, 2^505358519 is an apocalyptic number.

505358519 is a deficient number, since it is larger than the sum of its proper divisors (1).

505358519 is an equidigital number, since it uses as much as digits as its factorization.

505358519 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 135000, while the sum is 41.

The square root of 505358519 is about 22480.1805820149. The cubic root of 505358519 is about 796.5258298295.

The spelling of 505358519 in words is "five hundred five million, three hundred fifty-eight thousand, five hundred nineteen".