2003667033601 has 2 divisors, whose sum is σ = 2003667033602. Its totient is φ = 2003667033600.

The previous prime is 2003667033583. The next prime is 2003667033617. The reversal of 2003667033601 is 1063307663002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1939123090576 + 64543943025 = 1392524^2 + 254055^2 .

It is a cyclic number.

It is not a de Polignac number, because 2003667033601 - 2⁵ = 2003667033569 is a prime.

It is not a weakly prime, because it can be changed into another prime (2003667033631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001833516800 + 1001833516801.

It is an arithmetic number, because the mean of its divisors is an integer number (1001833516801).

Almost surely, 2^{2003667033601} is an apocalyptic number.

It is an amenable number.

2003667033601 is a deficient number, since it is larger than the sum of its proper divisors (1).

2003667033601 is an equidigital number, since it uses as much as digits as its factorization.

2003667033601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81648, while the sum is 37.

The spelling of 2003667033601 in words is "two trillion, three billion, six hundred sixty-seven million, thirty-three thousand, six hundred one".