51580128 has 48 divisors (see below), whose sum is σ = 136941840. Its totient is φ = 16997376.

The previous prime is 51580073. The next prime is 51580129. The reversal of 51580128 is 82108515.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 51580095 and 51580104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51580129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5526 + ... + 11562.

It is an arithmetic number, because the mean of its divisors is an integer number (2852955).

Almost surely, 2^51580128 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 51580128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68470920).

51580128 is an abundant number, since it is smaller than the sum of its proper divisors (85361712).

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

51580128 is a wasteful number, since it uses less digits than its factorization.

51580128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6139 (or 6131 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 30.

The square root of 51580128 is about 7181.9306596486. The cubic root of 51580128 is about 372.2437990248.

The spelling of 51580128 in words is "fifty-one million, five hundred eighty thousand, one hundred twenty-eight".