212409013 has 2 divisors, whose sum is σ = 212409014. Its totient is φ = 212409012.

The previous prime is 212409011. The next prime is 212409031. The reversal of 212409013 is 310904212.

212409013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (212409031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 168013444 + 44395569 = 12962^2 + 6663^2 .

It is a cyclic number.

It is not a de Polignac number, because 212409013 - 2¹ = 212409011 is a prime.

Together with 212409011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212409011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106204506 + 106204507.

It is an arithmetic number, because the mean of its divisors is an integer number (106204507).

Almost surely, 2^212409013 is an apocalyptic number.

It is an amenable number.

212409013 is a deficient number, since it is larger than the sum of its proper divisors (1).

212409013 is an equidigital number, since it uses as much as digits as its factorization.

212409013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 212409013 is about 14574.2585746240. The cubic root of 212409013 is about 596.6564140362.

The spelling of 212409013 in words is "two hundred twelve million, four hundred nine thousand, thirteen".