257340616301 has 2 divisors, whose sum is σ = 257340616302. Its totient is φ = 257340616300.

The previous prime is 257340616261. The next prime is 257340616339. The reversal of 257340616301 is 103616043752.

It is an a-pointer prime, because the next prime (257340616339) can be obtained adding 257340616301 to its sum of digits (38).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 171404280100 + 85936336201 = 414010^2 + 293149^2 .

It is a cyclic number.

It is not a de Polignac number, because 257340616301 - 2¹⁰ = 257340615277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257340616501) 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, 128670308150 + 128670308151.

It is an arithmetic number, because the mean of its divisors is an integer number (128670308151).

Almost surely, 2^257340616301 is an apocalyptic number.

It is an amenable number.

257340616301 is a deficient number, since it is larger than the sum of its proper divisors (1).

257340616301 is an equidigital number, since it uses as much as digits as its factorization.

257340616301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720, while the sum is 38.

The spelling of 257340616301 in words is "two hundred fifty-seven billion, three hundred forty million, six hundred sixteen thousand, three hundred one".