1010009993 has 2 divisors, whose sum is σ = 1010009994. Its totient is φ = 1010009992.

The previous prime is 1010009981. The next prime is 1010010007. The reversal of 1010009993 is 3999000101.

1010009993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 675376144 + 334633849 = 25988^2 + 18293^2 .

It is an emirp because it is prime and its reverse (3999000101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1010009993 - 2¹⁶ = 1009944457 is a prime.

It is not a weakly prime, because it can be changed into another prime (1010009963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505004996 + 505004997.

It is an arithmetic number, because the mean of its divisors is an integer number (505004997).

Almost surely, 2^1010009993 is an apocalyptic number.

It is an amenable number.

1010009993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010009993 is an equidigital number, since it uses as much as digits as its factorization.

1010009993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2187, while the sum is 32.

The square root of 1010009993 is about 31780.6543828160. The cubic root of 1010009993 is about 1003.3255925079.

The spelling of 1010009993 in words is "one billion, ten million, nine thousand, nine hundred ninety-three".