1009985984393 has 2 divisors, whose sum is σ = 1009985984394. Its totient is φ = 1009985984392.

The previous prime is 1009985984351. The next prime is 1009985984411. The reversal of 1009985984393 is 3934895899001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 960217728649 + 49768255744 = 979907^2 + 223088^2 .

It is an emirp because it is prime and its reverse (3934895899001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1009985984393 - 2²⁶ = 1009918875529 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1009985984993) 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, 504992992196 + 504992992197.

It is an arithmetic number, because the mean of its divisors is an integer number (504992992197).

Almost surely, 2^{1009985984393} is an apocalyptic number.

It is an amenable number.

1009985984393 is a deficient number, since it is larger than the sum of its proper divisors (1).

1009985984393 is an equidigital number, since it uses as much as digits as its factorization.

1009985984393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75582720, while the sum is 68.

The spelling of 1009985984393 in words is "one trillion, nine billion, nine hundred eighty-five million, nine hundred eighty-four thousand, three hundred ninety-three".