257918801117 has 8 divisors (see below), whose sum is σ = 271619151360. Its totient is φ = 244231018560.

The previous prime is 257918801099. The next prime is 257918801123. The reversal of 257918801117 is 711108819752.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 257918801117 - 2¹⁴ = 257918784733 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257918801167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3099773 + ... + 3181890.

It is an arithmetic number, because the mean of its divisors is an integer number (33952393920).

Almost surely, 2^257918801117 is an apocalyptic number.

It is an amenable number.

257918801117 is a deficient number, since it is larger than the sum of its proper divisors (13700350243).

257918801117 is a wasteful number, since it uses less digits than its factorization.

257918801117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6283843.

The product of its (nonzero) digits is 282240, while the sum is 50.

The spelling of 257918801117 in words is "two hundred fifty-seven billion, nine hundred eighteen million, eight hundred one thousand, one hundred seventeen".