2662306313 has 2 divisors, whose sum is σ = 2662306314. Its totient is φ = 2662306312.

The previous prime is 2662306279. The next prime is 2662306331. The reversal of 2662306313 is 3136032662.

2662306313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (2662306331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2648852089 + 13454224 = 51467^2 + 3668^2 .

It is a cyclic number.

It is not a de Polignac number, because 2662306313 - 2²⁰ = 2661257737 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2662306313.

It is not a weakly prime, because it can be changed into another prime (2662306363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1331153156 + 1331153157.

It is an arithmetic number, because the mean of its divisors is an integer number (1331153157).

Almost surely, 2^2662306313 is an apocalyptic number.

It is an amenable number.

2662306313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2662306313 is an equidigital number, since it uses as much as digits as its factorization.

2662306313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23328, while the sum is 32.

The square root of 2662306313 is about 51597.5417340788. The cubic root of 2662306313 is about 1385.9663112748.

Adding to 2662306313 its reverse (3136032662), we get a palindrome (5798338975).

The spelling of 2662306313 in words is "two billion, six hundred sixty-two million, three hundred six thousand, three hundred thirteen".