257249663 has 8 divisors (see below), whose sum is σ = 282656640. Its totient is φ = 232179480.

The previous prime is 257249647. The next prime is 257249711. The reversal of 257249663 is 366942752.

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 257249663 - 2⁴ = 257249647 is a prime.

It is a super-3 number, since 3×257249663³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257249063) 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, 82595 + ... + 85652.

It is an arithmetic number, because the mean of its divisors is an integer number (35332080).

Almost surely, 2^257249663 is an apocalyptic number.

257249663 is a deficient number, since it is larger than the sum of its proper divisors (25406977).

257249663 is a wasteful number, since it uses less digits than its factorization.

257249663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168397.

The product of its digits is 544320, while the sum is 44.

The square root of 257249663 is about 16039.0044267093. The cubic root of 257249663 is about 635.9919297725.

The spelling of 257249663 in words is "two hundred fifty-seven million, two hundred forty-nine thousand, six hundred sixty-three".