557050032 has 180 divisors, whose sum is σ = 1978630056. Its totient is φ = 144668160.

The previous prime is 557050027. The next prime is 557050061. The reversal of 557050032 is 230050755.

It is a junction number, because it is equal to n+sod(n) for n = 557049978 and 557050005.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 74028 + ... + 81204.

Almost surely, 2^557050032 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 557050032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989315028).

557050032 is an abundant number, since it is smaller than the sum of its proper divisors (1421580024).

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

557050032 is a wasteful number, since it uses less digits than its factorization.

557050032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7216 (or 7200 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 27.

The square root of 557050032 is about 23601.9073805487. The cubic root of 557050032 is about 822.8071706177.

The spelling of 557050032 in words is "five hundred fifty-seven million, fifty thousand, thirty-two".