1002008081 has 2 divisors, whose sum is σ = 1002008082. Its totient is φ = 1002008080.

The previous prime is 1002008057. The next prime is 1002008093. The reversal of 1002008081 is 1808002001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 566868481 + 435139600 = 23809^2 + 20860^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002008081 - 2¹⁸ = 1001745937 is a prime.

It is a super-2 number, since 2×1002008081² = 2008040388778605122, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1004008081) 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, 501004040 + 501004041.

It is an arithmetic number, because the mean of its divisors is an integer number (501004041).

Almost surely, 2^1002008081 is an apocalyptic number.

It is an amenable number.

1002008081 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002008081 is an equidigital number, since it uses as much as digits as its factorization.

1002008081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 1002008081 is about 31654.5112266798. The cubic root of 1002008081 is about 1000.6689127892.

The spelling of 1002008081 in words is "one billion, two million, eight thousand, eighty-one".