2005001312837 has 2 divisors, whose sum is σ = 2005001312838. Its totient is φ = 2005001312836.

The previous prime is 2005001312833. The next prime is 2005001312863. The reversal of 2005001312837 is 7382131005002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1021728769636 + 983272543201 = 1010806^2 + 991601^2 .

It is a cyclic number.

It is not a de Polignac number, because 2005001312837 - 2² = 2005001312833 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2005001312833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002500656418 + 1002500656419.

It is an arithmetic number, because the mean of its divisors is an integer number (1002500656419).

Almost surely, 2^{2005001312837} is an apocalyptic number.

It is an amenable number.

2005001312837 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005001312837 is an equidigital number, since it uses as much as digits as its factorization.

2005001312837 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 32.

Adding to 2005001312837 its reverse (7382131005002), we get a palindrome (9387132317839).

The spelling of 2005001312837 in words is "two trillion, five billion, one million, three hundred twelve thousand, eight hundred thirty-seven".