9005375801 has 2 divisors, whose sum is σ = 9005375802. Its totient is φ = 9005375800.

The previous prime is 9005375791. The next prime is 9005375839. The reversal of 9005375801 is 1085735009.

9005375801 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (9005375839) can be obtained adding 9005375801 to its sum of digits (38).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4708704400 + 4296671401 = 68620^2 + 65549^2 .

It is an emirp because it is prime and its reverse (1085735009) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9005375801 - 2⁶ = 9005375737 is a prime.

It is not a weakly prime, because it can be changed into another prime (9005375891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4502687900 + 4502687901.

It is an arithmetic number, because the mean of its divisors is an integer number (4502687901).

Almost surely, 2^9005375801 is an apocalyptic number.

It is an amenable number.

9005375801 is a deficient number, since it is larger than the sum of its proper divisors (1).

9005375801 is an equidigital number, since it uses as much as digits as its factorization.

9005375801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37800, while the sum is 38.

The square root of 9005375801 is about 94896.6585344289. The cubic root of 9005375801 is about 2080.4978930902.

The spelling of 9005375801 in words is "nine billion, five million, three hundred seventy-five thousand, eight hundred one".