2002071516233 has 2 divisors, whose sum is σ = 2002071516234. Its totient is φ = 2002071516232.

The previous prime is 2002071516209. The next prime is 2002071516253. The reversal of 2002071516233 is 3326151702002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1635014870329 + 367056645904 = 1278677^2 + 605852^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002071516233 - 2⁴⁰ = 902559888457 is a prime.

It is a super-2 number, since 2×2002071516233² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2002071516233.

It is not a weakly prime, because it can be changed into another prime (2002071516253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001035758116 + 1001035758117.

It is an arithmetic number, because the mean of its divisors is an integer number (1001035758117).

Almost surely, 2^{2002071516233} is an apocalyptic number.

It is an amenable number.

2002071516233 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002071516233 is an equidigital number, since it uses as much as digits as its factorization.

2002071516233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15120, while the sum is 32.

The spelling of 2002071516233 in words is "two trillion, two billion, seventy-one million, five hundred sixteen thousand, two hundred thirty-three".