256517413647353 has 2 divisors, whose sum is σ = 256517413647354. Its totient is φ = 256517413647352.

The previous prime is 256517413647343. The next prime is 256517413647413. The reversal of 256517413647353 is 353746314715652.

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., 134737956398224 + 121779457249129 = 11607668^2 + 11035373^2 .

It is a cyclic number.

It is not a de Polignac number, because 256517413647353 - 2¹⁴ = 256517413630969 is a prime.

It is not a weakly prime, because it can be changed into another prime (256517413647343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128258706823676 + 128258706823677.

It is an arithmetic number, because the mean of its divisors is an integer number (128258706823677).

Almost surely, 2^{256517413647353} is an apocalyptic number.

It is an amenable number.

256517413647353 is a deficient number, since it is larger than the sum of its proper divisors (1).

256517413647353 is an equidigital number, since it uses as much as digits as its factorization.

256517413647353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 190512000, while the sum is 62.

The spelling of 256517413647353 in words is "two hundred fifty-six trillion, five hundred seventeen billion, four hundred thirteen million, six hundred forty-seven thousand, three hundred fifty-three".