206541100319 has 2 divisors, whose sum is σ = 206541100320. Its totient is φ = 206541100318.

The previous prime is 206541100307. The next prime is 206541100321. The reversal of 206541100319 is 913001145602.

206541100319 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 is a cyclic number.

It is not a de Polignac number, because 206541100319 - 2²⁰ = 206540051743 is a prime.

It is a super-2 number, since 2×206541100319² (a number of 23 digits) contains 22 as substring.

Together with 206541100321, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (206541100349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 103270550159 + 103270550160.

It is an arithmetic number, because the mean of its divisors is an integer number (103270550160).

Almost surely, 2^206541100319 is an apocalyptic number.

206541100319 is a deficient number, since it is larger than the sum of its proper divisors (1).

206541100319 is an equidigital number, since it uses as much as digits as its factorization.

206541100319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 32.

The spelling of 206541100319 in words is "two hundred six billion, five hundred forty-one million, one hundred thousand, three hundred nineteen".