257583949 has 8 divisors (see below), whose sum is σ = 311698368. Its totient is φ = 207798720.

The previous prime is 257583919. The next prime is 257584057. The reversal of 257583949 is 949385752.

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 257583949 - 2⁵ = 257583917 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 257583896 and 257583905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257583919) 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, 1082167 + ... + 1082404.

It is an arithmetic number, because the mean of its divisors is an integer number (38962296).

Almost surely, 2^257583949 is an apocalyptic number.

It is an amenable number.

257583949 is a deficient number, since it is larger than the sum of its proper divisors (54114419).

257583949 is a wasteful number, since it uses less digits than its factorization.

257583949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164595.

The product of its digits is 2721600, while the sum is 52.

The square root of 257583949 is about 16049.4220768226. The cubic root of 257583949 is about 636.2672928475.

The spelling of 257583949 in words is "two hundred fifty-seven million, five hundred eighty-three thousand, nine hundred forty-nine".