52801320 has 256 divisors, whose sum is σ = 198132480. Its totient is φ = 11059200.

The previous prime is 52801289. The next prime is 52801327. The reversal of 52801320 is 2310825.

52801320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (52801327) 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 63 ways as a sum of consecutive naturals, for example, 291630 + ... + 291810.

It is an arithmetic number, because the mean of its divisors is an integer number (773955).

Almost surely, 2^52801320 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 52801320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066240).

52801320 is an abundant number, since it is smaller than the sum of its proper divisors (145331160).

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

52801320 is a wasteful number, since it uses less digits than its factorization.

52801320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 52801320 is about 7266.4516787769. The cubic root of 52801320 is about 375.1586173431.

It can be divided in two parts, 5280 and 1320, that multiplied together give a square (6969600 = 2640²).

The spelling of 52801320 in words is "fifty-two million, eight hundred one thousand, three hundred twenty".