257461057 has 8 divisors (see below), whose sum is σ = 307034496. Its totient is φ = 211085952.

The previous prime is 257461051. The next prime is 257461067. The reversal of 257461057 is 750164752.

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

It is not a de Polignac number, because 257461057 - 2²³ = 249072449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257461051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 799408 + ... + 799729.

It is an arithmetic number, because the mean of its divisors is an integer number (38379312).

Almost surely, 2^257461057 is an apocalyptic number.

It is an amenable number.

257461057 is a deficient number, since it is larger than the sum of its proper divisors (49573439).

257461057 is a wasteful number, since it uses less digits than its factorization.

257461057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599167.

The product of its (nonzero) digits is 58800, while the sum is 37.

The square root of 257461057 is about 16045.5930709962. The cubic root of 257461057 is about 636.1660901150.

The spelling of 257461057 in words is "two hundred fifty-seven million, four hundred sixty-one thousand, fifty-seven".