51353200 has 120 divisors (see below), whose sum is σ = 134924400. Its totient is φ = 18708480.

The previous prime is 51353191. The next prime is 51353249. The reversal of 51353200 is 235315.

51353200 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 (19).

It is a congruent number.

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, 220284 + ... + 220516.

It is an arithmetic number, because the mean of its divisors is an integer number (1124370).

Almost surely, 2^51353200 is an apocalyptic number.

51353200 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 51353200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67462200).

51353200 is an abundant number, since it is smaller than the sum of its proper divisors (83571200).

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

51353200 is a wasteful number, since it uses less digits than its factorization.

51353200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 51353200 is about 7166.1147074269. The cubic root of 51353200 is about 371.6970980152.

Adding to 51353200 its reverse (235315), we get a palindrome (51588515).

The spelling of 51353200 in words is "fifty-one million, three hundred fifty-three thousand, two hundred".