9385116613001 has 2 divisors, whose sum is σ = 9385116613002. Its totient is φ = 9385116613000.

The previous prime is 9385116612953. The next prime is 9385116613049. The reversal of 9385116613001 is 1003166115839.

It is a balanced prime because it is at equal distance from previous prime (9385116612953) and next prime (9385116613049).

It can be written as a sum of positive squares in only one way, i.e., 6770799509776 + 2614317103225 = 2602076^2 + 1616885^2 .

It is a cyclic number.

It is not a de Polignac number, because 9385116613001 - 2³⁴ = 9367936743817 is a prime.

It is not a weakly prime, because it can be changed into another prime (9385616613001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4692558306500 + 4692558306501.

It is an arithmetic number, because the mean of its divisors is an integer number (4692558306501).

Almost surely, 2^{9385116613001} is an apocalyptic number.

It is an amenable number.

9385116613001 is a deficient number, since it is larger than the sum of its proper divisors (1).

9385116613001 is an equidigital number, since it uses as much as digits as its factorization.

9385116613001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 116640, while the sum is 44.

The spelling of 9385116613001 in words is "nine trillion, three hundred eighty-five billion, one hundred sixteen million, six hundred thirteen thousand, one".