512213 has 12 divisors (see below), whose sum is σ = 583884. Its totient is φ = 446400.

The previous prime is 512207. The next prime is 512249. The reversal of 512213 is 312215.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 47089 + 465124 = 217^2 + 682^2 .

It is not a de Polignac number, because 512213 - 2¹⁴ = 495829 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 512213.

It is not an unprimeable number, because it can be changed into a prime (512713) 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 11 ways as a sum of consecutive naturals, for example, 12473 + ... + 12513.

It is an arithmetic number, because the mean of its divisors is an integer number (48657).

2⁵¹²²¹³ is an apocalyptic number.

It is an amenable number.

512213 is a deficient number, since it is larger than the sum of its proper divisors (71671).

512213 is a wasteful number, since it uses less digits than its factorization.

512213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 85 counting only the distinct ones).

The product of its digits is 60, while the sum is 14.

The square root of 512213 is about 715.6905755981. The cubic root of 512213 is about 80.0110922120.

Adding to 512213 its reverse (312215), we get a palindrome (824428).

The spelling of 512213 in words is "five hundred twelve thousand, two hundred thirteen".