53005800 has 144 divisors (see below), whose sum is σ = 172801440. Its totient is φ = 13439360.

The previous prime is 53005789. The next prime is 53005817. The reversal of 53005800 is 850035.

53005800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×53005800² = 5619229667280000, which contains 22 as substring.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 317317 + ... + 317483.

It is an arithmetic number, because the mean of its divisors is an integer number (1200010).

Almost surely, 2^53005800 is an apocalyptic number.

53005800 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 53005800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86400720).

53005800 is an abundant number, since it is smaller than the sum of its proper divisors (119795640).

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

53005800 is a wasteful number, since it uses less digits than its factorization.

53005800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 53005800 is about 7280.5082240184. The cubic root of 53005800 is about 375.6422770968.

Adding to 53005800 its reverse (850035), we get a palindrome (53855835).

The spelling of 53005800 in words is "fifty-three million, five thousand, eight hundred".