505965219 has 16 divisors (see below), whose sum is σ = 691152000. Its totient is φ = 329063616.

The previous prime is 505965209. The next prime is 505965221. The reversal of 505965219 is 912569505.

It is not a de Polignac number, because 505965219 - 2¹⁶ = 505899683 is a prime.

It is a super-2 number, since 2×505965219² = 512001605675435922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (505965209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133452 + ... + 137190.

It is an arithmetic number, because the mean of its divisors is an integer number (43197000).

Almost surely, 2^505965219 is an apocalyptic number.

505965219 is a deficient number, since it is larger than the sum of its proper divisors (185186781).

505965219 is a wasteful number, since it uses less digits than its factorization.

505965219 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4834.

The product of its (nonzero) digits is 121500, while the sum is 42.

The square root of 505965219 is about 22493.6706430942. The cubic root of 505965219 is about 796.8444544262.

The spelling of 505965219 in words is "five hundred five million, nine hundred sixty-five thousand, two hundred nineteen".