51082032 has 80 divisors (see below), whose sum is σ = 140864000. Its totient is φ = 15904512.

The previous prime is 51082019. The next prime is 51082033. The reversal of 51082032 is 23028015.

It is not an unprimeable number, because it can be changed into a prime (51082033) 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, 71694 + ... + 72402.

It is an arithmetic number, because the mean of its divisors is an integer number (1760800).

Almost surely, 2^51082032 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 51082032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70432000).

51082032 is an abundant number, since it is smaller than the sum of its proper divisors (89781968).

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

51082032 is a wasteful number, since it uses less digits than its factorization.

51082032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 51082032 is about 7147.1695096730. The cubic root of 51082032 is about 371.0417004248.

It can be divided in two parts, 5108 and 2032, that added together give a triangular number (7140 = T₁₁₉).

The spelling of 51082032 in words is "fifty-one million, eighty-two thousand, thirty-two".