16540164013 has 2 divisors, whose sum is σ = 16540164014. Its totient is φ = 16540164012.

The previous prime is 16540163989. The next prime is 16540164077. The reversal of 16540164013 is 31046104561.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11828302564 + 4711861449 = 108758^2 + 68643^2 .

It is a cyclic number.

It is not a de Polignac number, because 16540164013 - 2⁹ = 16540163501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (16540164083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8270082006 + 8270082007.

It is an arithmetic number, because the mean of its divisors is an integer number (8270082007).

Almost surely, 2^16540164013 is an apocalyptic number.

It is an amenable number.

16540164013 is a deficient number, since it is larger than the sum of its proper divisors (1).

16540164013 is an equidigital number, since it uses as much as digits as its factorization.

16540164013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 31.

Adding to 16540164013 its reverse (31046104561), we get a palindrome (47586268574).

The spelling of 16540164013 in words is "sixteen billion, five hundred forty million, one hundred sixty-four thousand, thirteen".