51282816 has 64 divisors (see below), whose sum is σ = 146712720. Its totient is φ = 15777792.

The previous prime is 51282811. The next prime is 51282821. The reversal of 51282816 is 61828215.

It is an interprime number because it is at equal distance from previous prime (51282811) and next prime (51282821).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51282811) 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, 145 + ... + 10128.

Almost surely, 2^51282816 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 51282816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73356360).

51282816 is an abundant number, since it is smaller than the sum of its proper divisors (95429904).

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

51282816 is a wasteful number, since it uses less digits than its factorization.

51282816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10303 (or 10291 counting only the distinct ones).

The product of its digits is 7680, while the sum is 33.

The square root of 51282816 is about 7161.2021337203. The cubic root of 51282816 is about 371.5272060392.

It can be divided in two parts, 5 and 1282816, that added together give a palindrome (1282821).

The spelling of 51282816 in words is "fifty-one million, two hundred eighty-two thousand, eight hundred sixteen".