213312577 has 2 divisors, whose sum is σ = 213312578. Its totient is φ = 213312576.

The previous prime is 213312527. The next prime is 213312599. The reversal of 213312577 is 775213312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 213043216 + 269361 = 14596^2 + 519^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-213312577 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (213312527) 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, 106656288 + 106656289.

It is an arithmetic number, because the mean of its divisors is an integer number (106656289).

Almost surely, 2^213312577 is an apocalyptic number.

It is an amenable number.

213312577 is a deficient number, since it is larger than the sum of its proper divisors (1).

213312577 is an equidigital number, since it uses as much as digits as its factorization.

213312577 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8820, while the sum is 31.

The square root of 213312577 is about 14605.2243050218. The cubic root of 213312577 is about 597.5012535935.

Adding to 213312577 its reverse (775213312), we get a palindrome (988525889).

The spelling of 213312577 in words is "two hundred thirteen million, three hundred twelve thousand, five hundred seventy-seven".