56533152 has 96 divisors (see below), whose sum is σ = 161808192. Its totient is φ = 17178624.

The previous prime is 56533117. The next prime is 56533157. The reversal of 56533152 is 25133565.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (56533157) 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, 120823 + ... + 121289.

It is an arithmetic number, because the mean of its divisors is an integer number (1685502).

Almost surely, 2^56533152 is an apocalyptic number.

56533152 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 56533152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80904096).

56533152 is an abundant number, since it is smaller than the sum of its proper divisors (105275040).

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

56533152 is a wasteful number, since it uses less digits than its factorization.

56533152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 582 counting only the distinct ones).

The product of its digits is 13500, while the sum is 30.

The square root of 56533152 is about 7518.8531040312. The cubic root of 56533152 is about 383.7965502140.

The spelling of 56533152 in words is "fifty-six million, five hundred thirty-three thousand, one hundred fifty-two".