7973786313 has 64 divisors (see below), whose sum is σ = 12489523200. Its totient is φ = 5021896320.

The previous prime is 7973786287. The next prime is 7973786329. The reversal of 7973786313 is 3136873797.

It is a happy number.

It is not a de Polignac number, because 7973786313 - 2⁸ = 7973786057 is a prime.

It is a super-2 number, since 2×7973786313² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7973786313.

It is not an unprimeable number, because it can be changed into a prime (7973786333) 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 in 63 ways as a sum of consecutive naturals, for example, 6044668 + ... + 6045986.

It is an arithmetic number, because the mean of its divisors is an integer number (195148800).

Almost surely, 2^7973786313 is an apocalyptic number.

It is an amenable number.

7973786313 is a deficient number, since it is larger than the sum of its proper divisors (4515736887).

7973786313 is a wasteful number, since it uses less digits than its factorization.

7973786313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1533 counting only the distinct ones).

The product of its digits is 4000752, while the sum is 54.

The square root of 7973786313 is about 89296.0598962799. The cubic root of 7973786313 is about 1997.8131357673.

The spelling of 7973786313 in words is "seven billion, nine hundred seventy-three million, seven hundred eighty-six thousand, three hundred thirteen".