164115403041113 has 2 divisors, whose sum is σ = 164115403041114. Its totient is φ = 164115403041112.

The previous prime is 164115403041071. The next prime is 164115403041137. The reversal of 164115403041113 is 311140304511461.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 159726323570944 + 4389079470169 = 12638288^2 + 2095013^2 .

It is an emirp because it is prime and its reverse (311140304511461) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 164115403041113 - 2¹² = 164115403037017 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 (164115405041113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82057701520556 + 82057701520557.

It is an arithmetic number, because the mean of its divisors is an integer number (82057701520557).

Almost surely, 2^{164115403041113} is an apocalyptic number.

It is an amenable number.

164115403041113 is a deficient number, since it is larger than the sum of its proper divisors (1).

164115403041113 is an equidigital number, since it uses as much as digits as its factorization.

164115403041113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 35.

Adding to 164115403041113 its reverse (311140304511461), we get a palindrome (475255707552574).

The spelling of 164115403041113 in words is "one hundred sixty-four trillion, one hundred fifteen billion, four hundred three million, forty-one thousand, one hundred thirteen".