18993006603001 has 2 divisors, whose sum is σ = 18993006603002. Its totient is φ = 18993006603000.

The previous prime is 18993006602929. The next prime is 18993006603007. The reversal of 18993006603001 is 10030660039981.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16213700837376 + 2779305765625 = 4026624^2 + 1667125^2 .

It is a cyclic number.

It is not a de Polignac number, because 18993006603001 - 2⁹ = 18993006602489 is a prime.

It is not a weakly prime, because it can be changed into another prime (18993006603007) 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, 9496503301500 + 9496503301501.

It is an arithmetic number, because the mean of its divisors is an integer number (9496503301501).

Almost surely, 2^{18993006603001} is an apocalyptic number.

It is an amenable number.

18993006603001 is a deficient number, since it is larger than the sum of its proper divisors (1).

18993006603001 is an equidigital number, since it uses as much as digits as its factorization.

18993006603001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 209952, while the sum is 46.

The spelling of 18993006603001 in words is "eighteen trillion, nine hundred ninety-three billion, six million, six hundred three thousand, one".