212825009 has 2 divisors, whose sum is σ = 212825010. Its totient is φ = 212825008.

The previous prime is 212824919. The next prime is 212825021. The reversal of 212825009 is 900528212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 212430625 + 394384 = 14575^2 + 628^2 .

It is a cyclic number.

It is not a de Polignac number, because 212825009 - 2⁸ = 212824753 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (212825059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106412504 + 106412505.

It is an arithmetic number, because the mean of its divisors is an integer number (106412505).

Almost surely, 2^212825009 is an apocalyptic number.

It is an amenable number.

212825009 is a deficient number, since it is larger than the sum of its proper divisors (1).

212825009 is an equidigital number, since it uses as much as digits as its factorization.

212825009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 212825009 is about 14588.5231946212. The cubic root of 212825009 is about 597.0456706239.

The spelling of 212825009 in words is "two hundred twelve million, eight hundred twenty-five thousand, nine".