257485707584701 has 2 divisors, whose sum is σ = 257485707584702. Its totient is φ = 257485707584700.

The previous prime is 257485707584669. The next prime is 257485707584801. The reversal of 257485707584701 is 107485707584752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 240836288247801 + 16649419336900 = 15518901^2 + 4080370^2 .

It is a cyclic number.

It is not a de Polignac number, because 257485707584701 - 2⁵ = 257485707584669 is a prime.

It is a super-2 number, since 2×257485707584701² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128742853792350 + 128742853792351.

It is an arithmetic number, because the mean of its divisors is an integer number (128742853792351).

Almost surely, 2^{257485707584701} is an apocalyptic number.

It is an amenable number.

257485707584701 is a deficient number, since it is larger than the sum of its proper divisors (1).

257485707584701 is an equidigital number, since it uses as much as digits as its factorization.

257485707584701 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 614656000, while the sum is 70.

The spelling of 257485707584701 in words is "two hundred fifty-seven trillion, four hundred eighty-five billion, seven hundred seven million, five hundred eighty-four thousand, seven hundred one".