257210362015073 has 2 divisors, whose sum is σ = 257210362015074. Its totient is φ = 257210362015072.

The previous prime is 257210362015067. The next prime is 257210362015223. The reversal of 257210362015073 is 370510263012752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 166196625042529 + 91013736972544 = 12891727^2 + 9540112^2 .

It is a cyclic number.

It is not a de Polignac number, because 257210362015073 - 2⁸ = 257210362014817 is a prime.

It is not a weakly prime, because it can be changed into another prime (257210362017073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128605181007536 + 128605181007537.

It is an arithmetic number, because the mean of its divisors is an integer number (128605181007537).

Almost surely, 2^{257210362015073} is an apocalyptic number.

It is an amenable number.

257210362015073 is a deficient number, since it is larger than the sum of its proper divisors (1).

257210362015073 is an equidigital number, since it uses as much as digits as its factorization.

257210362015073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 529200, while the sum is 44.

The spelling of 257210362015073 in words is "two hundred fifty-seven trillion, two hundred ten billion, three hundred sixty-two million, fifteen thousand, seventy-three".