52352000 has 88 divisors (see below), whose sum is σ = 130926120. Its totient is φ = 20889600.

The previous prime is 52351909. The next prime is 52352017. The reversal of 52352000 is 25325.

It can be written as a sum of positive squares in 4 ways, for example, as 50176 + 52301824 = 224^2 + 7232^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 52352000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127796 + ... + 128204.

Almost surely, 2^52352000 is an apocalyptic number.

52352000 is a gapful number since it is divisible by the number (50) 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 52352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65463060).

52352000 is an abundant number, since it is smaller than the sum of its proper divisors (78574120).

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

52352000 is an equidigital number, since it uses as much as digits as its factorization.

52352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 52352000 is about 7235.4681949408. The cubic root of 52352000 is about 374.0914300760.

Adding to 52352000 its reverse (25325), we get a palindrome (52377325).

The spelling of 52352000 in words is "fifty-two million, three hundred fifty-two thousand".