509212 has 24 divisors (see below), whose sum is σ = 991872. Its totient is φ = 226800.

The previous prime is 509203. The next prime is 509221. The reversal of 509212 is 212905.

It is an interprime number because it is at equal distance from previous prime (509203) and next prime (509221).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 509212.

It is a congruent number.

It is an unprimeable number.

509212 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3043 + ... + 3205.

It is an arithmetic number, because the mean of its divisors is an integer number (41328).

2⁵⁰⁹²¹² is an apocalyptic number.

It is an amenable number.

509212 is a deficient number, since it is larger than the sum of its proper divisors (482660).

509212 is a wasteful number, since it uses less digits than its factorization.

509212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 247 counting only the distinct ones).

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

The square root of 509212 is about 713.5909192247. The cubic root of 509212 is about 79.8545272982.

The spelling of 509212 in words is "five hundred nine thousand, two hundred twelve".