557319042 has 168 divisors, whose sum is σ = 1513914300. Its totient is φ = 153171648.

The previous prime is 557319017. The next prime is 557319047. The reversal of 557319042 is 240913755.

It can be written as a sum of positive squares in 2 ways, for example, as 522991161 + 34327881 = 22869^2 + 5859^2 .

It is a junction number, because it is equal to n+sod(n) for n = 557318988 and 557319006.

It is not an unprimeable number, because it can be changed into a prime (557319047) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2071684 + ... + 2071952.

Almost surely, 2^557319042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557319042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756957150).

557319042 is an abundant number, since it is smaller than the sum of its proper divisors (956595258).

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

557319042 is a wasteful number, since it uses less digits than its factorization.

557319042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 557319042 is about 23607.6055965022. The cubic root of 557319042 is about 822.9395990194.

The spelling of 557319042 in words is "five hundred fifty-seven million, three hundred nineteen thousand, forty-two".