257753241 has 12 divisors (see below), whose sum is σ = 378621360. Its totient is φ = 168922680.

The previous prime is 257753233. The next prime is 257753273. The reversal of 257753241 is 142357752.

It is not a de Polignac number, because 257753241 - 2³ = 257753233 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 257753196 and 257753205.

It is not an unprimeable number, because it can be changed into a prime (257753141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 242175 + ... + 243236.

It is an arithmetic number, because the mean of its divisors is an integer number (31551780).

Almost surely, 2^257753241 is an apocalyptic number.

It is an amenable number.

257753241 is a deficient number, since it is larger than the sum of its proper divisors (120868119).

257753241 is a wasteful number, since it uses less digits than its factorization.

257753241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485476 (or 485473 counting only the distinct ones).

The product of its digits is 58800, while the sum is 36.

The square root of 257753241 is about 16054.6952945237. The cubic root of 257753241 is about 636.4066537222.

The spelling of 257753241 in words is "two hundred fifty-seven million, seven hundred fifty-three thousand, two hundred forty-one".