557306112 has 144 divisors (see below), whose sum is σ = 1658583360. Its totient is φ = 164659200.

The previous prime is 557306089. The next prime is 557306131. The reversal of 557306112 is 211603755.

It is a self number, because there is not a number n which added to its sum of digits gives 557306112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345564 + ... + 347172.

It is an arithmetic number, because the mean of its divisors is an integer number (11517940).

Almost surely, 2^557306112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557306112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829291680).

557306112 is an abundant number, since it is smaller than the sum of its proper divisors (1101277248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

557306112 is a wasteful number, since it uses less digits than its factorization.

557306112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 557306112 is about 23607.3317424905. The cubic root of 557306112 is about 822.9332348064.

Adding to 557306112 its reverse (211603755), we get a palindrome (768909867).

The spelling of 557306112 in words is "five hundred fifty-seven million, three hundred six thousand, one hundred twelve".