257485707584801 has 2 divisors, whose sum is σ = 257485707584802. Its totient is φ = 257485707584800.

The previous prime is 257485707584701. The next prime is 257485707584837. The reversal of 257485707584801 is 108485707584752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 255339658381201 + 2146049203600 = 15979351^2 + 1464940^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257485707584801 is a prime.

It is a super-2 number, since 2×257485707584801² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (257485707584201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128742853792400 + 128742853792401.

It is an arithmetic number, because the mean of its divisors is an integer number (128742853792401).

Almost surely, 2^{257485707584801} is an apocalyptic number.

It is an amenable number.

257485707584801 is a deficient number, since it is larger than the sum of its proper divisors (1).

257485707584801 is an equidigital number, since it uses as much as digits as its factorization.

257485707584801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 702464000, while the sum is 71.

The spelling of 257485707584801 in words is "two hundred fifty-seven trillion, four hundred eighty-five billion, seven hundred seven million, five hundred eighty-four thousand, eight hundred one".