51306120 has 96 divisors (see below), whose sum is σ = 169954200. Its totient is φ = 13418496.

The previous prime is 51306107. The next prime is 51306139. The reversal of 51306120 is 2160315.

51306120 is a `hidden beast` number, since 51 + 3 + 0 + 612 + 0 = 666.

51306120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 32695524 + 18610596 = 5718^2 + 4314^2 .

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 = 51306093 and 51306102.

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, 17736 + ... + 20424.

Almost surely, 2^51306120 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 51306120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84977100).

51306120 is an abundant number, since it is smaller than the sum of its proper divisors (118648080).

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

51306120 is a wasteful number, since it uses less digits than its factorization.

51306120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2759 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 51306120 is about 7162.8290500332. The cubic root of 51306120 is about 371.5834741328.

Adding to 51306120 its reverse (2160315), we get a palindrome (53466435).

The spelling of 51306120 in words is "fifty-one million, three hundred six thousand, one hundred twenty".