257246440241 has 16 divisors (see below), whose sum is σ = 301961193600. Its totient is φ = 214523769600.

The previous prime is 257246440237. The next prime is 257246440271. The reversal of 257246440241 is 142044642752.

It is not a de Polignac number, because 257246440241 - 2² = 257246440237 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257246440211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6896441 + ... + 6933641.

It is an arithmetic number, because the mean of its divisors is an integer number (18872574600).

Almost surely, 2^257246440241 is an apocalyptic number.

It is an amenable number.

257246440241 is a deficient number, since it is larger than the sum of its proper divisors (44714753359).

257246440241 is a wasteful number, since it uses less digits than its factorization.

257246440241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63944.

The product of its (nonzero) digits is 430080, while the sum is 41.

The spelling of 257246440241 in words is "two hundred fifty-seven billion, two hundred forty-six million, four hundred forty thousand, two hundred forty-one".