257585116 has 12 divisors (see below), whose sum is σ = 450928800. Its totient is φ = 128748320.

The previous prime is 257585057. The next prime is 257585123. The reversal of 257585116 is 611585752.

It is a happy number.

257585116 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

257585116 is strictly pandigital in base 9.

It is a plaindrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4461 + ... + 23131.

It is an arithmetic number, because the mean of its divisors is an integer number (37577400).

Almost surely, 2^257585116 is an apocalyptic number.

It is an amenable number.

257585116 is a deficient number, since it is larger than the sum of its proper divisors (193343684).

257585116 is a wasteful number, since it uses less digits than its factorization.

257585116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22124 (or 22122 counting only the distinct ones).

The product of its digits is 84000, while the sum is 40.

The square root of 257585116 is about 16049.4584332307. The cubic root of 257585116 is about 636.2682537288.

The spelling of 257585116 in words is "two hundred fifty-seven million, five hundred eighty-five thousand, one hundred sixteen".