557006100 has 72 divisors (see below), whose sum is σ = 1841840448. Its totient is φ = 127315200.

The previous prime is 557006081. The next prime is 557006101. The reversal of 557006100 is 1600755.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557006101) 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, 130521 + ... + 134720.

Almost surely, 2^557006100 is an apocalyptic number.

557006100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

557006100 is an abundant number, since it is smaller than the sum of its proper divisors (1284834348).

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

557006100 is a wasteful number, since it uses less digits than its factorization.

557006100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265265 (or 265258 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 557006100 is about 23600.9766747056. The cubic root of 557006100 is about 822.7855396972.

Adding to 557006100 its reverse (1600755), we get a palindrome (558606855).

The spelling of 557006100 in words is "five hundred fifty-seven million, six thousand, one hundred".