51683128 has 48 divisors (see below), whose sum is σ = 117769680. Its totient is φ = 20757504.

The previous prime is 51683123. The next prime is 51683129. The reversal of 51683128 is 82138615.

51683128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51683128² = 5342291439728768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 51683093 and 51683102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51683123) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 221700 + ... + 221932.

It is an arithmetic number, because the mean of its divisors is an integer number (2453535).

Almost surely, 2^51683128 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 51683128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58884840).

51683128 is an abundant number, since it is smaller than the sum of its proper divisors (66086552).

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

51683128 is a wasteful number, since it uses less digits than its factorization.

51683128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 259 counting only the distinct ones).

The product of its digits is 11520, while the sum is 34.

The square root of 51683128 is about 7189.0978571723. The cubic root of 51683128 is about 372.4914113000.

The spelling of 51683128 in words is "fifty-one million, six hundred eighty-three thousand, one hundred twenty-eight".