257413647 has 8 divisors (see below), whose sum is σ = 343961344. Its totient is φ = 171237528.

The previous prime is 257413613. The next prime is 257413649. The reversal of 257413647 is 746314752.

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

It is not a de Polignac number, because 257413647 - 2¹¹ = 257411599 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 (257413649) 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 7 ways as a sum of consecutive naturals, for example, 91273 + ... + 94050.

It is an arithmetic number, because the mean of its divisors is an integer number (42995168).

Almost surely, 2^257413647 is an apocalyptic number.

257413647 is a deficient number, since it is larger than the sum of its proper divisors (86547697).

257413647 is a wasteful number, since it uses less digits than its factorization.

257413647 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185789.

The product of its digits is 141120, while the sum is 39.

The square root of 257413647 is about 16044.1156502937. The cubic root of 257413647 is about 636.1270389200.

The spelling of 257413647 in words is "two hundred fifty-seven million, four hundred thirteen thousand, six hundred forty-seven".