2002002002597 has 2 divisors, whose sum is σ = 2002002002598. Its totient is φ = 2002002002596.

The previous prime is 2002002002587. The next prime is 2002002002633. The reversal of 2002002002597 is 7952002002002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1891213545796 + 110788456801 = 1375214^2 + 332849^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2002002002597 is a prime.

It is a super-3 number, since 3×2002002002597³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002002002527) 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, 1001001001298 + 1001001001299.

It is an arithmetic number, because the mean of its divisors is an integer number (1001001001299).

Almost surely, 2^{2002002002597} is an apocalyptic number.

It is an amenable number.

2002002002597 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002002002597 is an equidigital number, since it uses as much as digits as its factorization.

2002002002597 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 29.

Adding to 2002002002597 its reverse (7952002002002), we get a palindrome (9954004004599).

The spelling of 2002002002597 in words is "two trillion, two billion, two million, two thousand, five hundred ninety-seven".