382456768753 has 2 divisors, whose sum is σ = 382456768754. Its totient is φ = 382456768752.

The previous prime is 382456768739. The next prime is 382456768807. The reversal of 382456768753 is 357867654283.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 363406420224 + 19050348529 = 602832^2 + 138023^2 .

It is a cyclic number.

It is not a de Polignac number, because 382456768753 - 2⁹ = 382456768241 is a prime.

It is not a weakly prime, because it can be changed into another prime (382456768453) 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, 191228384376 + 191228384377.

It is an arithmetic number, because the mean of its divisors is an integer number (191228384377).

Almost surely, 2^382456768753 is an apocalyptic number.

It is an amenable number.

382456768753 is a deficient number, since it is larger than the sum of its proper divisors (1).

382456768753 is an equidigital number, since it uses as much as digits as its factorization.

382456768753 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 203212800, while the sum is 64.

The spelling of 382456768753 in words is "three hundred eighty-two billion, four hundred fifty-six million, seven hundred sixty-eight thousand, seven hundred fifty-three".