257401266317 has 8 divisors (see below), whose sum is σ = 277231843224. Its totient is φ = 237575043648.

The previous prime is 257401266307. The next prime is 257401266329. The reversal of 257401266317 is 713662104752.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 22821842761 + 234579423556 = 151069^2 + 484334^2 .

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 257401266317 - 2¹⁰ = 257401265293 is a prime.

It is a super-3 number, since 3×257401266317³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257401266307) 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, 965258 + ... + 1202715.

It is an arithmetic number, because the mean of its divisors is an integer number (34653980403).

Almost surely, 2^257401266317 is an apocalyptic number.

It is an amenable number.

257401266317 is a deficient number, since it is larger than the sum of its proper divisors (19830576907).

257401266317 is a wasteful number, since it uses less digits than its factorization.

257401266317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2177119.

The product of its (nonzero) digits is 423360, while the sum is 44.

The spelling of 257401266317 in words is "two hundred fifty-seven billion, four hundred one million, two hundred sixty-six thousand, three hundred seventeen".