51045120 has 288 divisors, whose sum is σ = 207997440. Its totient is φ = 11612160.

The previous prime is 51045107. The next prime is 51045131. The reversal of 51045120 is 2154015.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 51045093 and 51045102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241815 + ... + 242025.

Almost surely, 2^51045120 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 51045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103998720).

51045120 is an abundant number, since it is smaller than the sum of its proper divisors (156952320).

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

51045120 is a wasteful number, since it uses less digits than its factorization.

51045120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 51045120 is about 7144.5867620178. The cubic root of 51045120 is about 370.9523070123.

Adding to 51045120 its reverse (2154015), we get a palindrome (53199135).

The spelling of 51045120 in words is "fifty-one million, forty-five thousand, one hundred twenty".