193753257983993 has 2 divisors, whose sum is σ = 193753257983994. Its totient is φ = 193753257983992.

The previous prime is 193753257983983. The next prime is 193753257984019. The reversal of 193753257983993 is 399389752357391.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 168330566247529 + 25422691736464 = 12974227^2 + 5042092^2 .

It is a cyclic number.

It is not a de Polignac number, because 193753257983993 - 2¹⁴ = 193753257967609 is a prime.

It is not a weakly prime, because it can be changed into another prime (193753257983963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 96876628991996 + 96876628991997.

It is an arithmetic number, because the mean of its divisors is an integer number (96876628991997).

Almost surely, 2^{193753257983993} is an apocalyptic number.

It is an amenable number.

193753257983993 is a deficient number, since it is larger than the sum of its proper divisors (1).

193753257983993 is an equidigital number, since it uses as much as digits as its factorization.

193753257983993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10416243600, while the sum is 83.

The spelling of 193753257983993 in words is "one hundred ninety-three trillion, seven hundred fifty-three billion, two hundred fifty-seven million, nine hundred eighty-three thousand, nine hundred ninety-three".