257930529 has 12 divisors (see below), whose sum is σ = 362961936. Its totient is φ = 162902808.

The previous prime is 257930527. The next prime is 257930531. The reversal of 257930529 is 925039752.

It is an interprime number because it is at equal distance from previous prime (257930527) and next prime (257930531).

It is not a de Polignac number, because 257930529 - 2¹ = 257930527 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257930521) 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 11 ways as a sum of consecutive naturals, for example, 117999 + ... + 120164.

It is an arithmetic number, because the mean of its divisors is an integer number (30246828).

Almost surely, 2^257930529 is an apocalyptic number.

It is an amenable number.

257930529 is a deficient number, since it is larger than the sum of its proper divisors (105031407).

257930529 is a wasteful number, since it uses less digits than its factorization.

257930529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238204 (or 238185 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 42.

The square root of 257930529 is about 16060.2157208426. The cubic root of 257930529 is about 636.5525314927.

The spelling of 257930529 in words is "two hundred fifty-seven million, nine hundred thirty thousand, five hundred twenty-nine".