557065152 has 168 divisors, whose sum is σ = 1904487936. Its totient is φ = 152216064.

The previous prime is 557065121. The next prime is 557065189. The reversal of 557065152 is 251560755.

It is a happy number.

557065152 is a `hidden beast` number, since 557 + 0 + 6 + 51 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89733 + ... + 95739.

Almost surely, 2^557065152 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 557065152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952243968).

557065152 is an abundant number, since it is smaller than the sum of its proper divisors (1347422784).

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

557065152 is a wasteful number, since it uses less digits than its factorization.

557065152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6055 (or 6042 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 36.

The square root of 557065152 is about 23602.2276914701. The cubic root of 557065152 is about 822.8146150309.

The spelling of 557065152 in words is "five hundred fifty-seven million, sixty-five thousand, one hundred fifty-two".