1827743830993 has 2 divisors, whose sum is σ = 1827743830994. Its totient is φ = 1827743830992.

The previous prime is 1827743830963. The next prime is 1827743831129. The reversal of 1827743830993 is 3990383477281.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1260933605569 + 566810225424 = 1122913^2 + 752868^2 .

It is a cyclic number.

It is not a de Polignac number, because 1827743830993 - 2²⁹ = 1827206960081 is a prime.

It is not a weakly prime, because it can be changed into another prime (1827743830903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 913871915496 + 913871915497.

It is an arithmetic number, because the mean of its divisors is an integer number (913871915497).

Almost surely, 2^{1827743830993} is an apocalyptic number.

It is an amenable number.

1827743830993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1827743830993 is an equidigital number, since it uses as much as digits as its factorization.

1827743830993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54867456, while the sum is 64.

The spelling of 1827743830993 in words is "one trillion, eight hundred twenty-seven billion, seven hundred forty-three million, eight hundred thirty thousand, nine hundred ninety-three".