257506383 has 16 divisors (see below), whose sum is σ = 351638496. Its totient is φ = 167556480.

The previous prime is 257506369. The next prime is 257506409. The reversal of 257506383 is 383605752.

It is not a de Polignac number, because 257506383 - 2⁸ = 257506127 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257506313) 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 15 ways as a sum of consecutive naturals, for example, 27213 + ... + 35433.

It is an arithmetic number, because the mean of its divisors is an integer number (21977406).

Almost surely, 2^257506383 is an apocalyptic number.

257506383 is a deficient number, since it is larger than the sum of its proper divisors (94132113).

257506383 is a wasteful number, since it uses less digits than its factorization.

257506383 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8474.

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 257506383 is about 16047.0054215732. The cubic root of 257506383 is about 636.2034202554.

The spelling of 257506383 in words is "two hundred fifty-seven million, five hundred six thousand, three hundred eighty-three".