768271313 has 2 divisors, whose sum is σ = 768271314. Its totient is φ = 768271312.

The previous prime is 768271307. The next prime is 768271351. The reversal of 768271313 is 313172867.

It is an a-pointer prime, because the next prime (768271351) can be obtained adding 768271313 to its sum of digits (38).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 738317584 + 29953729 = 27172^2 + 5473^2 .

It is a cyclic number.

It is not a de Polignac number, because 768271313 - 2⁴ = 768271297 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (768271303) 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 as a sum of consecutive naturals, namely, 384135656 + 384135657.

It is an arithmetic number, because the mean of its divisors is an integer number (384135657).

Almost surely, 2^768271313 is an apocalyptic number.

It is an amenable number.

768271313 is a deficient number, since it is larger than the sum of its proper divisors (1).

768271313 is an equidigital number, since it uses as much as digits as its factorization.

768271313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 42336, while the sum is 38.

The square root of 768271313 is about 27717.7075711539. The cubic root of 768271313 is about 915.8792201850.

The spelling of 768271313 in words is "seven hundred sixty-eight million, two hundred seventy-one thousand, three hundred thirteen".