257663617 has 8 divisors (see below), whose sum is σ = 273627360. Its totient is φ = 241940160.

The previous prime is 257663591. The next prime is 257663629. The reversal of 257663617 is 716366752.

257663617 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 257663617 - 2⁷ = 257663489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257663657) 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, 57859 + ... + 62152.

It is an arithmetic number, because the mean of its divisors is an integer number (34203420).

Almost surely, 2^257663617 is an apocalyptic number.

It is an amenable number.

257663617 is a deficient number, since it is larger than the sum of its proper divisors (15963743).

257663617 is a wasteful number, since it uses less digits than its factorization.

257663617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120143.

The product of its digits is 317520, while the sum is 43.

The square root of 257663617 is about 16051.9038434698. The cubic root of 257663617 is about 636.3328830079.

The spelling of 257663617 in words is "two hundred fifty-seven million, six hundred sixty-three thousand, six hundred seventeen".