52557648 has 240 divisors, whose sum is σ = 174274560. Its totient is φ = 13478400.

The previous prime is 52557641. The next prime is 52557671. The reversal of 52557648 is 84675525.

52557648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52557641) 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 47 ways as a sum of consecutive naturals, for example, 1695393 + ... + 1695423.

It is an arithmetic number, because the mean of its divisors is an integer number (726144).

Almost surely, 2^52557648 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 52557648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87137280).

52557648 is an abundant number, since it is smaller than the sum of its proper divisors (121716912).

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

52557648 is a wasteful number, since it uses less digits than its factorization.

52557648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 79 counting only the distinct ones).

The product of its digits is 336000, while the sum is 42.

The square root of 52557648 is about 7249.6653715879. The cubic root of 52557648 is about 374.5806227243.

The spelling of 52557648 in words is "fifty-two million, five hundred fifty-seven thousand, six hundred forty-eight".