412210013 has 2 divisors, whose sum is σ = 412210014. Its totient is φ = 412210012.

The previous prime is 412209989. The next prime is 412210027. The reversal of 412210013 is 310012214.

It is an a-pointer prime, because the next prime (412210027) can be obtained adding 412210013 to its sum of digits (14).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 412171204 + 38809 = 20302^2 + 197^2 .

It is a cyclic number.

It is not a de Polignac number, because 412210013 - 2¹⁴ = 412193629 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 412210013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (412210213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206105006 + 206105007.

It is an arithmetic number, because the mean of its divisors is an integer number (206105007).

Almost surely, 2^412210013 is an apocalyptic number.

It is an amenable number.

412210013 is a deficient number, since it is larger than the sum of its proper divisors (1).

412210013 is an equidigital number, since it uses as much as digits as its factorization.

412210013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 412210013 is about 20302.9557700351. The cubic root of 412210013 is about 744.2282975012.

Adding to 412210013 its reverse (310012214), we get a palindrome (722222227).

The spelling of 412210013 in words is "four hundred twelve million, two hundred ten thousand, thirteen".