2001216907993 has 2 divisors, whose sum is σ = 2001216907994. Its totient is φ = 2001216907992.

The previous prime is 2001216907973. The next prime is 2001216908071. The reversal of 2001216907993 is 3997096121002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1963787427904 + 37429480089 = 1401352^2 + 193467^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001216907993 - 2⁵ = 2001216907961 is a prime.

It is a super-2 number, since 2×2001216907993² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2001216907973) 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, 1000608453996 + 1000608453997.

It is an arithmetic number, because the mean of its divisors is an integer number (1000608453997).

Almost surely, 2^{2001216907993} is an apocalyptic number.

It is an amenable number.

2001216907993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001216907993 is an equidigital number, since it uses as much as digits as its factorization.

2001216907993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 367416, while the sum is 49.

The spelling of 2001216907993 in words is "two trillion, one billion, two hundred sixteen million, nine hundred seven thousand, nine hundred ninety-three".