1005747385873 has 2 divisors, whose sum is σ = 1005747385874. Its totient is φ = 1005747385872.

The previous prime is 1005747385859. The next prime is 1005747385933. The reversal of 1005747385873 is 3785837475001.

1005747385873 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., 691264204929 + 314483180944 = 831423^2 + 560788^2 .

It is an emirp because it is prime and its reverse (3785837475001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1005747385873 - 2¹³ = 1005747377681 is a prime.

It is not a weakly prime, because it can be changed into another prime (1005747385813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502873692936 + 502873692937.

It is an arithmetic number, because the mean of its divisors is an integer number (502873692937).

Almost surely, 2^{1005747385873} is an apocalyptic number.

It is an amenable number.

1005747385873 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005747385873 is an equidigital number, since it uses as much as digits as its factorization.

1005747385873 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19756800, while the sum is 58.

The spelling of 1005747385873 in words is "one trillion, five billion, seven hundred forty-seven million, three hundred eighty-five thousand, eight hundred seventy-three".