164503012321 has 2 divisors, whose sum is σ = 164503012322. Its totient is φ = 164503012320.

The previous prime is 164503012319. The next prime is 164503012337. The reversal of 164503012321 is 123210305461.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 164114922321 + 388090000 = 405111^2 + 19700^2 .

It is a cyclic number.

It is not a de Polignac number, because 164503012321 - 2¹ = 164503012319 is a prime.

It is a super-2 number, since 2×164503012321² (a number of 23 digits) contains 22 as substring.

Together with 164503012319, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 164503012321.

It is not a weakly prime, because it can be changed into another prime (164503012361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82251506160 + 82251506161.

It is an arithmetic number, because the mean of its divisors is an integer number (82251506161).

Almost surely, 2^164503012321 is an apocalyptic number.

It is an amenable number.

164503012321 is a deficient number, since it is larger than the sum of its proper divisors (1).

164503012321 is an equidigital number, since it uses as much as digits as its factorization.

164503012321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 164503012321 its reverse (123210305461), we get a palindrome (287713317782).

The spelling of 164503012321 in words is "one hundred sixty-four billion, five hundred three million, twelve thousand, three hundred twenty-one".