10052217209 has 2 divisors, whose sum is σ = 10052217210. Its totient is φ = 10052217208.

The previous prime is 10052217193. The next prime is 10052217221. The reversal of 10052217209 is 90271225001.

10052217209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10047055225 + 5161984 = 100235^2 + 2272^2 .

It is a cyclic number.

It is not a de Polignac number, because 10052217209 - 2⁴ = 10052217193 is a prime.

It is not a weakly prime, because it can be changed into another prime (10052217709) 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, 5026108604 + 5026108605.

It is an arithmetic number, because the mean of its divisors is an integer number (5026108605).

Almost surely, 2^10052217209 is an apocalyptic number.

It is an amenable number.

10052217209 is a deficient number, since it is larger than the sum of its proper divisors (1).

10052217209 is an equidigital number, since it uses as much as digits as its factorization.

10052217209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 29.

The spelling of 10052217209 in words is "ten billion, fifty-two million, two hundred seventeen thousand, two hundred nine".