52213120 has 64 divisors (see below), whose sum is σ = 132192000. Its totient is φ = 19652608.

The previous prime is 52213093. The next prime is 52213123. The reversal of 52213120 is 2131225.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 52213094 and 52213103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52213123) 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 7 ways as a sum of consecutive naturals, for example, 8481 + ... + 13279.

It is an arithmetic number, because the mean of its divisors is an integer number (2065500).

Almost surely, 2^52213120 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 52213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66096000).

52213120 is an abundant number, since it is smaller than the sum of its proper divisors (79978880).

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

52213120 is a wasteful number, since it uses less digits than its factorization.

52213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4835 (or 4823 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 52213120 is about 7225.8646541435. The cubic root of 52213120 is about 373.7603390838.

Adding to 52213120 its reverse (2131225), we get a palindrome (54344345).

The spelling of 52213120 in words is "fifty-two million, two hundred thirteen thousand, one hundred twenty".