51325800 has 96 divisors (see below), whose sum is σ = 160570080. Its totient is φ = 13561600.

The previous prime is 51325793. The next prime is 51325823. The reversal of 51325800 is 852315.

51325800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78274 + ... + 78926.

It is an arithmetic number, because the mean of its divisors is an integer number (1672605).

Almost surely, 2^51325800 is an apocalyptic number.

51325800 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 51325800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80285040).

51325800 is an abundant number, since it is smaller than the sum of its proper divisors (109244280).

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

51325800 is a wasteful number, since it uses less digits than its factorization.

51325800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 794 counting only the distinct ones).

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

The square root of 51325800 is about 7164.2026772000. The cubic root of 51325800 is about 371.6309787188.

It can be divided in two parts, 51325 and 800, that added together give a palindrome (52125).

The spelling of 51325800 in words is "fifty-one million, three hundred twenty-five thousand, eight hundred".