257345241323 has 16 divisors (see below), whose sum is σ = 270204693696. Its totient is φ = 244856002560.

The previous prime is 257345241319. The next prime is 257345241383. The reversal of 257345241323 is 323142543752.

It is a cyclic number.

It is not a de Polignac number, because 257345241323 - 2² = 257345241319 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257345241383) 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 15 ways as a sum of consecutive naturals, for example, 8315 + ... + 717467.

It is an arithmetic number, because the mean of its divisors is an integer number (16887793356).

Almost surely, 2^257345241323 is an apocalyptic number.

257345241323 is a deficient number, since it is larger than the sum of its proper divisors (12859452373).

257345241323 is a wasteful number, since it uses less digits than its factorization.

257345241323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709414.

The product of its digits is 604800, while the sum is 41.

The spelling of 257345241323 in words is "two hundred fifty-seven billion, three hundred forty-five million, two hundred forty-one thousand, three hundred twenty-three".