52305120 has 144 divisors (see below), whose sum is σ = 204029280. Its totient is φ = 11953152.

The previous prime is 52305103. The next prime is 52305133. The reversal of 52305120 is 2150325.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 52305093 and 52305102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7486 + ... + 12674.

It is an arithmetic number, because the mean of its divisors is an integer number (1416870).

Almost surely, 2^52305120 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 52305120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102014640).

52305120 is an abundant number, since it is smaller than the sum of its proper divisors (151724160).

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

52305120 is a wasteful number, since it uses less digits than its factorization.

52305120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5217 (or 5206 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 52305120 is about 7232.2278725162. The cubic root of 52305120 is about 373.9797333332.

Adding to 52305120 its reverse (2150325), we get a palindrome (54455445).

It can be divided in two parts, 52305 and 120, that added together give a palindrome (52425).

The spelling of 52305120 in words is "fifty-two million, three hundred five thousand, one hundred twenty".