205213519 has 12 divisors (see below), whose sum is σ = 239123664. Its totient is φ = 175598304.

The previous prime is 205213513. The next prime is 205213523. The reversal of 205213519 is 915312502.

It is not a de Polignac number, because 205213519 - 2¹⁵ = 205180751 is a prime.

It is a super-2 number, since 2×205213519² = 84225176760726722, 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 (205213513) 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 in 11 ways as a sum of consecutive naturals, for example, 28467 + ... + 34939.

It is an arithmetic number, because the mean of its divisors is an integer number (19926972).

Almost surely, 2^205213519 is an apocalyptic number.

205213519 is a deficient number, since it is larger than the sum of its proper divisors (33910145).

205213519 is an equidigital number, since it uses as much as digits as its factorization.

205213519 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7134 (or 7127 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 28.

The square root of 205213519 is about 14325.2755296364. The cubic root of 205213519 is about 589.8414962516.

The spelling of 205213519 in words is "two hundred five million, two hundred thirteen thousand, five hundred nineteen".