2002055917817 has 2 divisors, whose sum is σ = 2002055917818. Its totient is φ = 2002055917816.

The previous prime is 2002055917777. The next prime is 2002055917819. The reversal of 2002055917817 is 7187195502002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1878486795241 + 123569122576 = 1370579^2 + 351524^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002055917817 - 2¹⁶ = 2002055852281 is a prime.

It is a super-3 number, since 3×2002055917817³ (a number of 38 digits) contains 333 as substring.

Together with 2002055917819, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2002055917819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001027958908 + 1001027958909.

It is an arithmetic number, because the mean of its divisors is an integer number (1001027958909).

Almost surely, 2^{2002055917817} is an apocalyptic number.

It is an amenable number.

2002055917817 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002055917817 is an equidigital number, since it uses as much as digits as its factorization.

2002055917817 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 352800, while the sum is 47.

The spelling of 2002055917817 in words is "two trillion, two billion, fifty-five million, nine hundred seventeen thousand, eight hundred seventeen".