51081120 has 144 divisors (see below), whose sum is σ = 183587040. Its totient is φ = 12897792.

The previous prime is 51081113. The next prime is 51081131. The reversal of 51081120 is 2118015.

51081120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 51081093 and 51081102.

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, 26427 + ... + 28293.

It is an arithmetic number, because the mean of its divisors is an integer number (1274910).

Almost surely, 2^51081120 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 51081120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91793520).

51081120 is an abundant number, since it is smaller than the sum of its proper divisors (132505920).

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

51081120 is a wasteful number, since it uses less digits than its factorization.

51081120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 51081120 is about 7147.1057079072. The cubic root of 51081120 is about 371.0394922638.

Adding to 51081120 its reverse (2118015), we get a palindrome (53199135).

The spelling of 51081120 in words is "fifty-one million, eighty-one thousand, one hundred twenty".