51128616 has 128 divisors (see below), whose sum is σ = 161971200. Its totient is φ = 13063680.

The previous prime is 51128611. The next prime is 51128647. The reversal of 51128616 is 61682115.

It is a super-2 number, since 2×51128616² = 5228270748150912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51128611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134715 + ... + 135093.

It is an arithmetic number, because the mean of its divisors is an integer number (1265400).

Almost surely, 2^51128616 is an apocalyptic number.

51128616 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 51128616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80985600).

51128616 is an abundant number, since it is smaller than the sum of its proper divisors (110842584).

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

51128616 is a wasteful number, since it uses less digits than its factorization.

51128616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 475 counting only the distinct ones).

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

The square root of 51128616 is about 7150.4276795168. The cubic root of 51128616 is about 371.1544560217.

The spelling of 51128616 in words is "fifty-one million, one hundred twenty-eight thousand, six hundred sixteen".