51605120 has 64 divisors (see below), whose sum is σ = 141004800. Its totient is φ = 17691648.

The previous prime is 51605063. The next prime is 51605131. The reversal of 51605120 is 2150615.

It is a tau number, because it is divible by the number of its divisors (64).

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 = 51605092 and 51605101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1280 + ... + 10239.

It is an arithmetic number, because the mean of its divisors is an integer number (2203200).

Almost surely, 2^51605120 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 51605120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70502400).

51605120 is an abundant number, since it is smaller than the sum of its proper divisors (89399680).

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

51605120 is a wasteful number, since it uses less digits than its factorization.

51605120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11545 (or 11533 counting only the distinct ones).

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

The square root of 51605120 is about 7183.6703710568. The cubic root of 51605120 is about 372.3039101260.

Adding to 51605120 its reverse (2150615), we get a palindrome (53755735).

The spelling of 51605120 in words is "fifty-one million, six hundred five thousand, one hundred twenty".