312050213 has 2 divisors, whose sum is σ = 312050214. Its totient is φ = 312050212.

The previous prime is 312050159. The next prime is 312050227.

312050213 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 311981569 + 68644 = 17663^2 + 262^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 312050213 - 2⁸ = 312049957 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 312050191 and 312050200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312050293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156025106 + 156025107.

It is an arithmetic number, because the mean of its divisors is an integer number (156025107).

Almost surely, 2^312050213 is an apocalyptic number.

It is an amenable number.

312050213 is a deficient number, since it is larger than the sum of its proper divisors (1).

312050213 is an equidigital number, since it uses as much as digits as its factorization.

312050213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 312050213 is about 17664.9430511395. The cubic root of 312050213 is about 678.2786718862.

The spelling of 312050213 in words is "three hundred twelve million, fifty thousand, two hundred thirteen".