51661128 has 64 divisors (see below), whose sum is σ = 139161600. Its totient is φ = 15935040.

The previous prime is 51661123. The next prime is 51661153. The reversal of 51661128 is 82116615.

It is a junction number, because it is equal to n+sod(n) for n = 51661095 and 51661104.

It is not an unprimeable number, because it can be changed into a prime (51661123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15603 + ... + 18621.

It is an arithmetic number, because the mean of its divisors is an integer number (2174400).

Almost surely, 2^51661128 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 51661128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69580800).

51661128 is an abundant number, since it is smaller than the sum of its proper divisors (87500472).

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

51661128 is a wasteful number, since it uses less digits than its factorization.

51661128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3082 (or 3078 counting only the distinct ones).

The product of its digits is 2880, while the sum is 30.

The square root of 51661128 is about 7187.5675996821. The cubic root of 51661128 is about 372.4385508894.

The spelling of 51661128 in words is "fifty-one million, six hundred sixty-one thousand, one hundred twenty-eight".