257711725841 has 8 divisors (see below), whose sum is σ = 261187821000. Its totient is φ = 254248529920.

The previous prime is 257711725813. The next prime is 257711725861. The reversal of 257711725841 is 148527117752.

It can be written as a sum of positive squares in 4 ways, for example, as 26082250000 + 231629475841 = 161500^2 + 481279^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257711725841 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 257711725841.

It is not an unprimeable number, because it can be changed into a prime (257711725801) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3184580 + ... + 3264501.

It is an arithmetic number, because the mean of its divisors is an integer number (32648477625).

Almost surely, 2^257711725841 is an apocalyptic number.

It is an amenable number.

257711725841 is a deficient number, since it is larger than the sum of its proper divisors (3476095159).

257711725841 is an equidigital number, since it uses as much as digits as its factorization.

257711725841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6449619.

The product of its digits is 1097600, while the sum is 50.

The spelling of 257711725841 in words is "two hundred fifty-seven billion, seven hundred eleven million, seven hundred twenty-five thousand, eight hundred forty-one".