509213 has 4 divisors (see below), whose sum is σ = 514080. Its totient is φ = 504348.

The previous prime is 509203. The next prime is 509221. The reversal of 509213 is 312905.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 312905 = 5 ⋅62581.

It is a cyclic number.

It is not a de Polignac number, because 509213 - 2⁶ = 509149 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2273 + ... + 2486.

It is an arithmetic number, because the mean of its divisors is an integer number (128520).

2⁵⁰⁹²¹³ is an apocalyptic number.

It is an amenable number.

509213 is a deficient number, since it is larger than the sum of its proper divisors (4867).

509213 is a wasteful number, since it uses less digits than its factorization.

509213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4866.

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 509213 is about 713.5916199060. The cubic root of 509213 is about 79.8545795714.

The spelling of 509213 in words is "five hundred nine thousand, two hundred thirteen".