51182016 has 56 divisors (see below), whose sum is σ = 136550400. Its totient is φ = 16918272.

The previous prime is 51182009. The next prime is 51182017. The reversal of 51182016 is 61028115.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51182017) 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, 23335 + ... + 25433.

It is an arithmetic number, because the mean of its divisors is an integer number (2438400).

Almost surely, 2^51182016 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 51182016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68275200).

51182016 is an abundant number, since it is smaller than the sum of its proper divisors (85368384).

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

51182016 is a wasteful number, since it uses less digits than its factorization.

51182016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2241 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 51182016 is about 7154.1607474252. The cubic root of 51182016 is about 371.2836253823.

The spelling of 51182016 in words is "fifty-one million, one hundred eighty-two thousand, sixteen".