10072638209 has 2 divisors, whose sum is σ = 10072638210. Its totient is φ = 10072638208.

The previous prime is 10072638187. The next prime is 10072638217. The reversal of 10072638209 is 90283627001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6743694400 + 3328943809 = 82120^2 + 57697^2 .

It is a cyclic number.

It is not a de Polignac number, because 10072638209 - 2²⁴ = 10055860993 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10072638269) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5036319104 + 5036319105.

It is an arithmetic number, because the mean of its divisors is an integer number (5036319105).

Almost surely, 2^10072638209 is an apocalyptic number.

It is an amenable number.

10072638209 is a deficient number, since it is larger than the sum of its proper divisors (1).

10072638209 is an equidigital number, since it uses as much as digits as its factorization.

10072638209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36288, while the sum is 38.

The spelling of 10072638209 in words is "ten billion, seventy-two million, six hundred thirty-eight thousand, two hundred nine".