51582960 has 320 divisors, whose sum is σ = 209986560. Its totient is φ = 11473920.

The previous prime is 51582941. The next prime is 51583001. The reversal of 51582960 is 6928515.

It is a happy number.

51582960 is a `hidden beast` number, since 515 + 82 + 9 + 60 = 666.

51582960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 308797 + ... + 308963.

It is an arithmetic number, because the mean of its divisors is an integer number (656208).

Almost surely, 2^51582960 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 51582960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104993280).

51582960 is an abundant number, since it is smaller than the sum of its proper divisors (158403600).

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

51582960 is a wasteful number, since it uses less digits than its factorization.

51582960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 51582960 is about 7182.1278184115. The cubic root of 51582960 is about 372.2506115654.

It can be divided in two parts, 5158 and 2960, that added together give a palindrome (8118).

The spelling of 51582960 in words is "fifty-one million, five hundred eighty-two thousand, nine hundred sixty".