212505842322317 has 2 divisors, whose sum is σ = 212505842322318. Its totient is φ = 212505842322316.

The previous prime is 212505842322199. The next prime is 212505842322337. The reversal of 212505842322317 is 713223248505212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 206910129065641 + 5595713256676 = 14384371^2 + 2365526^2 .

It is a cyclic number.

It is not a de Polignac number, because 212505842322317 - 2⁴² = 208107795811213 is a prime.

It is a super-2 number, since 2×212505842322317² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212505842322337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106252921161158 + 106252921161159.

It is an arithmetic number, because the mean of its divisors is an integer number (106252921161159).

Almost surely, 2^{212505842322317} is an apocalyptic number.

It is an amenable number.

212505842322317 is a deficient number, since it is larger than the sum of its proper divisors (1).

212505842322317 is an equidigital number, since it uses as much as digits as its factorization.

212505842322317 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1612800, while the sum is 47.

The spelling of 212505842322317 in words is "two hundred twelve trillion, five hundred five billion, eight hundred forty-two million, three hundred twenty-two thousand, three hundred seventeen".