248716386257 has 2 divisors, whose sum is σ = 248716386258. Its totient is φ = 248716386256.

The previous prime is 248716386157. The next prime is 248716386263. The reversal of 248716386257 is 752683617842.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 188863253056 + 59853133201 = 434584^2 + 244649^2 .

It is a cyclic number.

It is not a de Polignac number, because 248716386257 - 2¹⁸ = 248716124113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 248716386196 and 248716386205.

It is not a weakly prime, because it can be changed into another prime (248716386157) 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, 124358193128 + 124358193129.

It is an arithmetic number, because the mean of its divisors is an integer number (124358193129).

Almost surely, 2^248716386257 is an apocalyptic number.

It is an amenable number.

248716386257 is a deficient number, since it is larger than the sum of its proper divisors (1).

248716386257 is an equidigital number, since it uses as much as digits as its factorization.

248716386257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27095040, while the sum is 59.

The spelling of 248716386257 in words is "two hundred forty-eight billion, seven hundred sixteen million, three hundred eighty-six thousand, two hundred fifty-seven".