51333120 has 144 divisors (see below), whose sum is σ = 178230780. Its totient is φ = 13664256.

The previous prime is 51333119. The next prime is 51333131. The reversal of 51333120 is 2133315.

51333120 is a `hidden beast` number, since 513 + 33 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46457856 + 4875264 = 6816^2 + 2208^2 .

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 a junction number, because it is equal to n+sod(n) for n = 51333093 and 51333102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91882 + ... + 92438.

Almost surely, 2^51333120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89115390).

51333120 is an abundant number, since it is smaller than the sum of its proper divisors (126897660).

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

51333120 is a wasteful number, since it uses less digits than its factorization.

51333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 51333120 is about 7164.7135323054. The cubic root of 51333120 is about 371.6486450091.

Adding to 51333120 its reverse (2133315), we get a palindrome (53466435).

It can be divided in two parts, 513 and 33120, that added together give a palindrome (33633).

The spelling of 51333120 in words is "fifty-one million, three hundred thirty-three thousand, one hundred twenty".