209829465137 has 2 divisors, whose sum is σ = 209829465138. Its totient is φ = 209829465136.

The previous prime is 209829465133. The next prime is 209829465149. The reversal of 209829465137 is 731564928902.

209829465137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 189437339536 + 20392125601 = 435244^2 + 142801^2 .

It is a cyclic number.

It is not a de Polignac number, because 209829465137 - 2² = 209829465133 is a prime.

It is not a weakly prime, because it can be changed into another prime (209829465133) 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, 104914732568 + 104914732569.

It is an arithmetic number, because the mean of its divisors is an integer number (104914732569).

It is a 2-persistent number, because it is pandigital, and so is 2⋅209829465137 = 419658930274, but 3⋅209829465137 = 629488395411 is not.

Almost surely, 2^209829465137 is an apocalyptic number.

It is an amenable number.

209829465137 is a deficient number, since it is larger than the sum of its proper divisors (1).

209829465137 is an equidigital number, since it uses as much as digits as its factorization.

209829465137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6531840, while the sum is 56.

The spelling of 209829465137 in words is "two hundred nine billion, eight hundred twenty-nine million, four hundred sixty-five thousand, one hundred thirty-seven".