53125800 has 288 divisors, whose sum is σ = 207799200. Its totient is φ = 11128320.

The previous prime is 53125781. The next prime is 53125811. The reversal of 53125800 is 852135.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 382131 + ... + 382269.

It is an arithmetic number, because the mean of its divisors is an integer number (721525).

Almost surely, 2^53125800 is an apocalyptic number.

53125800 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 53125800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103899600).

53125800 is an abundant number, since it is smaller than the sum of its proper divisors (154673400).

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

53125800 is a wasteful number, since it uses less digits than its factorization.

53125800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 53125800 is about 7288.7447478973. The cubic root of 53125800 is about 375.9255360311.

Adding to 53125800 its reverse (852135), we get a palindrome (53977935).

The spelling of 53125800 in words is "fifty-three million, one hundred twenty-five thousand, eight hundred".