505212112213 has 2 divisors, whose sum is σ = 505212112214. Its totient is φ = 505212112212.

The previous prime is 505212112169. The next prime is 505212112289. The reversal of 505212112213 is 312211212505.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 370451170609 + 134760941604 = 608647^2 + 367098^2 .

It is a cyclic number.

It is not a de Polignac number, because 505212112213 - 2¹³ = 505212104021 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (505212113213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252606056106 + 252606056107.

It is an arithmetic number, because the mean of its divisors is an integer number (252606056107).

Almost surely, 2^505212112213 is an apocalyptic number.

It is an amenable number.

505212112213 is a deficient number, since it is larger than the sum of its proper divisors (1).

505212112213 is an equidigital number, since it uses as much as digits as its factorization.

505212112213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 505212112213 its reverse (312211212505), we get a palindrome (817423324718).

The spelling of 505212112213 in words is "five hundred five billion, two hundred twelve million, one hundred twelve thousand, two hundred thirteen".