257817097041 has 24 divisors (see below), whose sum is σ = 399956616864. Its totient is φ = 147295673280.

The previous prime is 257817096983. The next prime is 257817097051. The reversal of 257817097041 is 140790718752.

It is not a de Polignac number, because 257817097041 - 2¹¹ = 257817094993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257817097051) 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 23 ways as a sum of consecutive naturals, for example, 608826 + ... + 941436.

It is an arithmetic number, because the mean of its divisors is an integer number (16664859036).

Almost surely, 2^257817097041 is an apocalyptic number.

257817097041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

257817097041 is a deficient number, since it is larger than the sum of its proper divisors (142139519823).

257817097041 is a wasteful number, since it uses less digits than its factorization.

257817097041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337901 (or 337894 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 51.

The spelling of 257817097041 in words is "two hundred fifty-seven billion, eight hundred seventeen million, ninety-seven thousand, forty-one".