52809120 has 432 divisors, whose sum is σ = 230211072. Its totient is φ = 10782720.

The previous prime is 52809109. The next prime is 52809121. The reversal of 52809120 is 2190825.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52809121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1703505 + ... + 1703535.

It is an arithmetic number, because the mean of its divisors is an integer number (532896).

Almost surely, 2^52809120 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 52809120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115105536).

52809120 is an abundant number, since it is smaller than the sum of its proper divisors (177401952).

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

52809120 is a wasteful number, since it uses less digits than its factorization.

52809120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 52809120 is about 7266.9883720837. The cubic root of 52809120 is about 375.1770896915.

Adding to 52809120 its reverse (2190825), we get a palindrome (54999945).

It can be divided in two parts, 5280 and 9120, that added together give a square (14400 = 120²).

The spelling of 52809120 in words is "fifty-two million, eight hundred nine thousand, one hundred twenty".