51816128 has 168 divisors, whose sum is σ = 136209024. Its totient is φ = 19353600.

The previous prime is 51816073. The next prime is 51816143. The reversal of 51816128 is 82161815.

It is a super-2 number, since 2×51816128² = 5369822241824768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 51816094 and 51816103.

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 23 ways as a sum of consecutive naturals, for example, 1263788 + ... + 1263828.

It is an arithmetic number, because the mean of its divisors is an integer number (810768).

Almost surely, 2^51816128 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 51816128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68104512).

51816128 is an abundant number, since it is smaller than the sum of its proper divisors (84392896).

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

51816128 is a wasteful number, since it uses less digits than its factorization.

51816128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 94 counting only the distinct ones).

The product of its digits is 3840, while the sum is 32.

The square root of 51816128 is about 7198.3420313292. The cubic root of 51816128 is about 372.8106574713.

The spelling of 51816128 in words is "fifty-one million, eight hundred sixteen thousand, one hundred twenty-eight".