164303624036593 has 2 divisors, whose sum is σ = 164303624036594. Its totient is φ = 164303624036592.

The previous prime is 164303624036551. The next prime is 164303624036639. The reversal of 164303624036593 is 395630426303461.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 154925991743329 + 9377632293264 = 12446927^2 + 3062292^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-164303624036593 is a prime.

It is not a weakly prime, because it can be changed into another prime (164303624036543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82151812018296 + 82151812018297.

It is an arithmetic number, because the mean of its divisors is an integer number (82151812018297).

Almost surely, 2^{164303624036593} is an apocalyptic number.

It is an amenable number.

164303624036593 is a deficient number, since it is larger than the sum of its proper divisors (1).

164303624036593 is an equidigital number, since it uses as much as digits as its factorization.

164303624036593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25194240, while the sum is 55.

The spelling of 164303624036593 in words is "one hundred sixty-four trillion, three hundred three billion, six hundred twenty-four million, thirty-six thousand, five hundred ninety-three".