51523200 has 144 divisors (see below), whose sum is σ = 183949350. Its totient is φ = 13731840.

The previous prime is 51523187. The next prime is 51523229. The reversal of 51523200 is 232515.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 48108096 + 3415104 = 6936^2 + 1848^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27906 + ... + 29694.

Almost surely, 2^51523200 is an apocalyptic number.

51523200 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 51523200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91974675).

51523200 is an abundant number, since it is smaller than the sum of its proper divisors (132426150).

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

51523200 is a wasteful number, since it uses less digits than its factorization.

51523200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 51523200 is about 7177.9662857943. The cubic root of 51523200 is about 372.1068024936.

Adding to 51523200 its reverse (232515), we get a palindrome (51755715).

The spelling of 51523200 in words is "fifty-one million, five hundred twenty-three thousand, two hundred".