257057541 has 24 divisors (see below), whose sum is σ = 401995776. Its totient is φ = 157347360.

The previous prime is 257057533. The next prime is 257057573. The reversal of 257057541 is 145750752.

It is not a de Polignac number, because 257057541 - 2³ = 257057533 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257057496 and 257057505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257057531) 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 23 ways as a sum of consecutive naturals, for example, 16596 + ... + 28098.

It is an arithmetic number, because the mean of its divisors is an integer number (16749824).

Almost surely, 2^257057541 is an apocalyptic number.

It is an amenable number.

257057541 is a deficient number, since it is larger than the sum of its proper divisors (144938235).

257057541 is a wasteful number, since it uses less digits than its factorization.

257057541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11713 (or 11710 counting only the distinct ones).

The product of its (nonzero) digits is 49000, while the sum is 36.

The square root of 257057541 is about 16033.0140959210. The cubic root of 257057541 is about 635.8335641979.

The spelling of 257057541 in words is "two hundred fifty-seven million, fifty-seven thousand, five hundred forty-one".