51361128 has 240 divisors, whose sum is σ = 180686880. Its totient is φ = 13343616.

The previous prime is 51361091. The next prime is 51361129. The reversal of 51361128 is 82116315.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (51361129) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 766551 + ... + 766617.

It is an arithmetic number, because the mean of its divisors is an integer number (752862).

Almost surely, 2^51361128 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 51361128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90343440).

51361128 is an abundant number, since it is smaller than the sum of its proper divisors (129325752).

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

51361128 is a wasteful number, since it uses less digits than its factorization.

51361128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 92 counting only the distinct ones).

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

The square root of 51361128 is about 7166.6678449611. The cubic root of 51361128 is about 371.7162247880.

The spelling of 51361128 in words is "fifty-one million, three hundred sixty-one thousand, one hundred twenty-eight".