7713777257 has 2 divisors, whose sum is σ = 7713777258. Its totient is φ = 7713777256.

The previous prime is 7713777229. The next prime is 7713777259. The reversal of 7713777257 is 7527773177.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6225052201 + 1488725056 = 78899^2 + 38584^2 .

It is an emirp because it is prime and its reverse (7527773177) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 7713777257 - 2¹⁶ = 7713711721 is a prime.

It is a super-3 number, since 3×7713777257³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 7713777259, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 7713777199 and 7713777208.

It is not a weakly prime, because it can be changed into another prime (7713777259) 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, 3856888628 + 3856888629.

It is an arithmetic number, because the mean of its divisors is an integer number (3856888629).

Almost surely, 2^7713777257 is an apocalyptic number.

It is an amenable number.

7713777257 is a deficient number, since it is larger than the sum of its proper divisors (1).

7713777257 is an equidigital number, since it uses as much as digits as its factorization.

7713777257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3529470, while the sum is 53.

The square root of 7713777257 is about 87828.1119972415. Note that the first 3 decimals coincide. The cubic root of 7713777257 is about 1975.8578557764.

The spelling of 7713777257 in words is "seven billion, seven hundred thirteen million, seven hundred seventy-seven thousand, two hundred fifty-seven".