257917238343 has 16 divisors (see below), whose sum is σ = 382260456160. Its totient is φ = 171872445888.

The previous prime is 257917238339. The next prime is 257917238347. The reversal of 257917238343 is 343832719752.

It is a happy number.

257917238343 is a `hidden beast` number, since 2 + 57 + 9 + 17 + 238 + 343 = 666.

It is an interprime number because it is at equal distance from previous prime (257917238339) and next prime (257917238347).

It is not a de Polignac number, because 257917238343 - 2² = 257917238339 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 257917238343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257917238347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1945180 + ... + 2073537.

It is an arithmetic number, because the mean of its divisors is an integer number (23891278510).

Almost surely, 2^257917238343 is an apocalyptic number.

257917238343 is a deficient number, since it is larger than the sum of its proper divisors (124343217817).

257917238343 is a wasteful number, since it uses less digits than its factorization.

257917238343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4021103 (or 4021097 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 257917238343 in words is "two hundred fifty-seven billion, nine hundred seventeen million, two hundred thirty-eight thousand, three hundred forty-three".