768258509897 has 2 divisors, whose sum is σ = 768258509898. Its totient is φ = 768258509896.

The previous prime is 768258509857. The next prime is 768258509929. The reversal of 768258509897 is 798905852867.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 712194215056 + 56064294841 = 843916^2 + 236779^2 .

It is a cyclic number.

It is not a de Polignac number, because 768258509897 - 2¹² = 768258505801 is a prime.

It is a super-2 number, since 2×768258509897² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (768258509857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 384129254948 + 384129254949.

It is an arithmetic number, because the mean of its divisors is an integer number (384129254949).

Almost surely, 2^768258509897 is an apocalyptic number.

It is an amenable number.

768258509897 is a deficient number, since it is larger than the sum of its proper divisors (1).

768258509897 is an equidigital number, since it uses as much as digits as its factorization.

768258509897 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 609638400, while the sum is 74.

The spelling of 768258509897 in words is "seven hundred sixty-eight billion, two hundred fifty-eight million, five hundred nine thousand, eight hundred ninety-seven".