51383200 has 72 divisors (see below), whose sum is σ = 136866240. Its totient is φ = 18681600.

The previous prime is 51383191. The next prime is 51383207. The reversal of 51383200 is 238315.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (51383207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5881 + ... + 11719.

It is an arithmetic number, because the mean of its divisors is an integer number (1900920).

Almost surely, 2^51383200 is an apocalyptic number.

51383200 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 51383200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68433120).

51383200 is an abundant number, since it is smaller than the sum of its proper divisors (85483040).

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

51383200 is a wasteful number, since it uses less digits than its factorization.

51383200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5870 (or 5857 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 51383200 is about 7168.2075862799. The cubic root of 51383200 is about 371.7694644386.

It can be divided in two parts, 5138 and 3200, that added together give a palindrome (8338).

The spelling of 51383200 in words is "fifty-one million, three hundred eighty-three thousand, two hundred".