257745446032717 has 8 divisors (see below), whose sum is σ = 260616367796256. Its totient is φ = 254883081414192.

The previous prime is 257745446032651. The next prime is 257745446032757. The reversal of 257745446032717 is 717230644547752.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 257745446032717 - 2²⁷ = 257745311814989 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257745446032757) 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 in 7 ways as a sum of consecutive naturals, for example, 2139225678 + ... + 2139346159.

It is an arithmetic number, because the mean of its divisors is an integer number (32577045974532).

Almost surely, 2^{257745446032717} is an apocalyptic number.

It is an amenable number.

257745446032717 is a deficient number, since it is larger than the sum of its proper divisors (2870921763539).

257745446032717 is a wasteful number, since it uses less digits than its factorization.

257745446032717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4278572507.

The product of its (nonzero) digits is 276595200, while the sum is 64.

The spelling of 257745446032717 in words is "two hundred fifty-seven trillion, seven hundred forty-five billion, four hundred forty-six million, thirty-two thousand, seven hundred seventeen".