2005314137 has 2 divisors, whose sum is σ = 2005314138. Its totient is φ = 2005314136.

The previous prime is 2005314121. The next prime is 2005314139. The reversal of 2005314137 is 7314135002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1563095296 + 442218841 = 39536^2 + 21029^2 .

It is a cyclic number.

It is not a de Polignac number, because 2005314137 - 2⁴ = 2005314121 is a prime.

Together with 2005314139, 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 (2005314139) 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, 1002657068 + 1002657069.

It is an arithmetic number, because the mean of its divisors is an integer number (1002657069).

Almost surely, 2^2005314137 is an apocalyptic number.

It is an amenable number.

2005314137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005314137 is an equidigital number, since it uses as much as digits as its factorization.

2005314137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 2005314137 is about 44780.7339935379. The cubic root of 2005314137 is about 1261.0359618561.

Adding to 2005314137 its reverse (7314135002), we get a palindrome (9319449139).

The spelling of 2005314137 in words is "two billion, five million, three hundred fourteen thousand, one hundred thirty-seven".