513223211 has 2 divisors, whose sum is σ = 513223212. Its totient is φ = 513223210.

The previous prime is 513223187. The next prime is 513223213. The reversal of 513223211 is 112322315.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 513223211 - 2¹⁸ = 512961067 is a prime.

Together with 513223213, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (513223213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256611605 + 256611606.

It is an arithmetic number, because the mean of its divisors is an integer number (256611606).

Almost surely, 2^513223211 is an apocalyptic number.

513223211 is a deficient number, since it is larger than the sum of its proper divisors (1).

513223211 is an equidigital number, since it uses as much as digits as its factorization.

513223211 is an evil number, because the sum of its binary digits is even.

The product of its digits is 360, while the sum is 20.

The square root of 513223211 is about 22654.4302731276. The cubic root of 513223211 is about 800.6365823817.

Adding to 513223211 its reverse (112322315), we get a palindrome (625545526).

The spelling of 513223211 in words is "five hundred thirteen million, two hundred twenty-three thousand, two hundred eleven".