511213 has 2 divisors, whose sum is σ = 511214. Its totient is φ = 511212.

The previous prime is 511211. The next prime is 511223. The reversal of 511213 is 312115.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 459684 + 51529 = 678^2 + 227^2 .

It is a cyclic number.

It is not a de Polignac number, because 511213 - 2¹ = 511211 is a prime.

It is a super-2 number, since 2×511213² = 522677462738, which contains 22 as substring.

Together with 511211, it forms a pair of twin primes.

511213 is a lucky number.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 511193 and 511202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (511211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 255606 + 255607.

It is an arithmetic number, because the mean of its divisors is an integer number (255607).

2⁵¹¹²¹³ is an apocalyptic number.

It is an amenable number.

511213 is a deficient number, since it is larger than the sum of its proper divisors (1).

511213 is an equidigital number, since it uses as much as digits as its factorization.

511213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 30, while the sum is 13.

The square root of 511213 is about 714.9916083424. The cubic root of 511213 is about 79.9589893969.

Adding to 511213 its reverse (312115), we get a palindrome (823328).

It can be divided in two parts, 5 and 11213, that multiplied together give a palindrome (56065).

The spelling of 511213 in words is "five hundred eleven thousand, two hundred thirteen".