51065120 has 48 divisors (see below), whose sum is σ = 121383360. Its totient is φ = 20300544.

The previous prime is 51065111. The next prime is 51065137. The reversal of 51065120 is 2156015.

It is a super-2 number, since 2×51065120² = 5215292961228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 51065092 and 51065101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27749 + ... + 29531.

It is an arithmetic number, because the mean of its divisors is an integer number (2528820).

Almost surely, 2^51065120 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 51065120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60691680).

51065120 is an abundant number, since it is smaller than the sum of its proper divisors (70318240).

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

51065120 is a wasteful number, since it uses less digits than its factorization.

51065120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1977 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 51065120 is about 7145.9862860210. The cubic root of 51065120 is about 371.0007483220. Note that the first 3 decimals are identical.

The spelling of 51065120 in words is "fifty-one million, sixty-five thousand, one hundred twenty".