257057456671 has 16 divisors (see below), whose sum is σ = 273414499488. Its totient is φ = 240838272000.

The previous prime is 257057456647. The next prime is 257057456701. The reversal of 257057456671 is 176654750752.

It is a 10-Lehmer number, since φ(257057456671) divides (257057456671-1)¹⁰.

It is a cyclic number.

It is not a de Polignac number, because 257057456671 - 2¹⁷ = 257057325599 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 (257057454671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31727521 + ... + 31735621.

It is an arithmetic number, because the mean of its divisors is an integer number (17088406218).

It is the magic constant of a 8011 × 8011 magic square.

Almost surely, 2^257057456671 is an apocalyptic number.

257057456671 is a deficient number, since it is larger than the sum of its proper divisors (16357042817).

257057456671 is a wasteful number, since it uses less digits than its factorization.

257057456671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16362.

The product of its (nonzero) digits is 12348000, while the sum is 55.

The spelling of 257057456671 in words is "two hundred fifty-seven billion, fifty-seven million, four hundred fifty-six thousand, six hundred seventy-one".