51316128 has 144 divisors (see below), whose sum is σ = 155990016. Its totient is φ = 15966720.

The previous prime is 51316123. The next prime is 51316141. The reversal of 51316128 is 82161315.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (51316121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 404001 + ... + 404127.

It is an arithmetic number, because the mean of its divisors is an integer number (1083264).

Almost surely, 2^51316128 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 51316128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77995008).

51316128 is an abundant number, since it is smaller than the sum of its proper divisors (104673888).

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

51316128 is a wasteful number, since it uses less digits than its factorization.

51316128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 216 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 51316128 is about 7163.5276226172. The cubic root of 51316128 is about 371.6076334705.

It can be divided in two parts, 513 and 16128, that added together give a square (16641 = 129²).

The spelling of 51316128 in words is "fifty-one million, three hundred sixteen thousand, one hundred twenty-eight".