164351424162553 has 2 divisors, whose sum is σ = 164351424162554. Its totient is φ = 164351424162552.

The previous prime is 164351424162451. The next prime is 164351424162623. The reversal of 164351424162553 is 355261424153461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117562581946384 + 46788842216169 = 10842628^2 + 6840237^2 .

It is a cyclic number.

It is not a de Polignac number, because 164351424162553 - 2⁹ = 164351424162041 is a prime.

It is a super-2 number, since 2×164351424162553² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 164351424162553.

It is not a weakly prime, because it can be changed into another prime (164351484162553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82175712081276 + 82175712081277.

It is an arithmetic number, because the mean of its divisors is an integer number (82175712081277).

Almost surely, 2^{164351424162553} is an apocalyptic number.

It is an amenable number.

164351424162553 is a deficient number, since it is larger than the sum of its proper divisors (1).

164351424162553 is an equidigital number, since it uses as much as digits as its factorization.

164351424162553 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10368000, while the sum is 52.

The spelling of 164351424162553 in words is "one hundred sixty-four trillion, three hundred fifty-one billion, four hundred twenty-four million, one hundred sixty-two thousand, five hundred fifty-three".