52935552 has 192 divisors, whose sum is σ = 169095600. Its totient is φ = 16293888.

The previous prime is 52935529. The next prime is 52935559. The reversal of 52935552 is 25553925.

52935552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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

Its product of digits (67500) is a multiple of the sum of its prime divisors (75).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52935559) 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, 998758 + ... + 998810.

Almost surely, 2^52935552 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 52935552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84547800).

52935552 is an abundant number, since it is smaller than the sum of its proper divisors (116160048).

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

52935552 is a wasteful number, since it uses less digits than its factorization.

52935552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 75 counting only the distinct ones).

The product of its digits is 67500, while the sum is 36.

The square root of 52935552 is about 7275.6822360518. The cubic root of 52935552 is about 375.4762588839.

The spelling of 52935552 in words is "fifty-two million, nine hundred thirty-five thousand, five hundred fifty-two".