7823281313 has 2 divisors, whose sum is σ = 7823281314. Its totient is φ = 7823281312.

The previous prime is 7823281253. The next prime is 7823281343. The reversal of 7823281313 is 3131823287.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5730035809 + 2093245504 = 75697^2 + 45752^2 .

It is an emirp because it is prime and its reverse (3131823287) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 7823281313 - 2⁸ = 7823281057 is a prime.

It is a super-2 number, since 2×7823281313² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (7823281343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3911640656 + 3911640657.

It is an arithmetic number, because the mean of its divisors is an integer number (3911640657).

Almost surely, 2^7823281313 is an apocalyptic number.

It is an amenable number.

7823281313 is a deficient number, since it is larger than the sum of its proper divisors (1).

7823281313 is an equidigital number, since it uses as much as digits as its factorization.

7823281313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 48384, while the sum is 38.

The square root of 7823281313 is about 88449.3149379915. The cubic root of 7823281313 is about 1985.1636563479.

The spelling of 7823281313 in words is "seven billion, eight hundred twenty-three million, two hundred eighty-one thousand, three hundred thirteen".