676123526567257 has 2 divisors, whose sum is σ = 676123526567258. Its totient is φ = 676123526567256.

The previous prime is 676123526567219. The next prime is 676123526567261. The reversal of 676123526567257 is 752765625321676.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 621257818401936 + 54865708165321 = 24925044^2 + 7407139^2 .

It is a cyclic number.

It is not a de Polignac number, because 676123526567257 - 2³⁹ = 675573770753369 is a prime.

It is not a weakly prime, because it can be changed into another prime (676123526567287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 338061763283628 + 338061763283629.

It is an arithmetic number, because the mean of its divisors is an integer number (338061763283629).

Almost surely, 2^{676123526567257} is an apocalyptic number.

It is an amenable number.

676123526567257 is a deficient number, since it is larger than the sum of its proper divisors (1).

676123526567257 is an equidigital number, since it uses as much as digits as its factorization.

676123526567257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1333584000, while the sum is 70.

The spelling of 676123526567257 in words is "six hundred seventy-six trillion, one hundred twenty-three billion, five hundred twenty-six million, five hundred sixty-seven thousand, two hundred fifty-seven".