213313253 has 2 divisors, whose sum is σ = 213313254. Its totient is φ = 213313252.

The previous prime is 213313223. The next prime is 213313267. The reversal of 213313253 is 352313312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 212955649 + 357604 = 14593^2 + 598^2 .

It is a cyclic number.

It is not a de Polignac number, because 213313253 - 2¹² = 213309157 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213313223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106656626 + 106656627.

It is an arithmetic number, because the mean of its divisors is an integer number (106656627).

Almost surely, 2^213313253 is an apocalyptic number.

It is an amenable number.

213313253 is a deficient number, since it is larger than the sum of its proper divisors (1).

213313253 is an equidigital number, since it uses as much as digits as its factorization.

213313253 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1620, while the sum is 23.

The square root of 213313253 is about 14605.2474474074. The cubic root of 213313253 is about 597.5018847650.

Adding to 213313253 its reverse (352313312), we get a palindrome (565626565).

The spelling of 213313253 in words is "two hundred thirteen million, three hundred thirteen thousand, two hundred fifty-three".