557053952 has 192 divisors, whose sum is σ = 1421784000. Its totient is φ = 216760320.

The previous prime is 557053897. The next prime is 557053957. The reversal of 557053952 is 259350755.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557053957) by changing a digit.

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, 9132002 + ... + 9132062.

It is an arithmetic number, because the mean of its divisors is an integer number (7405125).

Almost surely, 2^557053952 is an apocalyptic number.

557053952 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557053952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710892000).

557053952 is an abundant number, since it is smaller than the sum of its proper divisors (864730048).

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

557053952 is an equidigital number, since it uses as much as digits as its factorization.

557053952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 236250, while the sum is 41.

The square root of 557053952 is about 23601.9904245384. The cubic root of 557053952 is about 822.8091006637.

The spelling of 557053952 in words is "five hundred fifty-seven million, fifty-three thousand, nine hundred fifty-two".