2005356113 has 2 divisors, whose sum is σ = 2005356114. Its totient is φ = 2005356112.

The previous prime is 2005356109. The next prime is 2005356137. The reversal of 2005356113 is 3116535002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1941547969 + 63808144 = 44063^2 + 7988^2 .

It is a cyclic number.

It is not a de Polignac number, because 2005356113 - 2² = 2005356109 is a prime.

It is a super-3 number, since 3×2005356113³ (a number of 29 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2005356173) 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, 1002678056 + 1002678057.

It is an arithmetic number, because the mean of its divisors is an integer number (1002678057).

Almost surely, 2^2005356113 is an apocalyptic number.

It is an amenable number.

2005356113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005356113 is an equidigital number, since it uses as much as digits as its factorization.

2005356113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 2005356113 is about 44781.2026747831. The cubic root of 2005356113 is about 1261.0447606232.

The spelling of 2005356113 in words is "two billion, five million, three hundred fifty-six thousand, one hundred thirteen".