51289056 has 288 divisors, whose sum is σ = 190794240. Its totient is φ = 12690432.

The previous prime is 51289033. The next prime is 51289087. The reversal of 51289056 is 65098215.

It is a happy number.

51289056 is a `hidden beast` number, since 512 + 8 + 90 + 56 = 666.

51289056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×51289056² = 5261134530742272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 51289056.

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 47 ways as a sum of consecutive naturals, for example, 497901 + ... + 498003.

It is an arithmetic number, because the mean of its divisors is an integer number (662480).

Almost surely, 2^51289056 is an apocalyptic number.

51289056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51289056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95397120).

51289056 is an abundant number, since it is smaller than the sum of its proper divisors (139505184).

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

51289056 is a wasteful number, since it uses less digits than its factorization.

51289056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 147 counting only the distinct ones).

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

The square root of 51289056 is about 7161.6378015088. The cubic root of 51289056 is about 371.5422743469.

The spelling of 51289056 in words is "fifty-one million, two hundred eighty-nine thousand, fifty-six".