51811824 has 80 divisors (see below), whose sum is σ = 141848064. Its totient is φ = 16262400.

The previous prime is 51811817. The next prime is 51811831. The reversal of 51811824 is 42811815.

It is a happy number.

51811824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51811817) and next prime (51811831).

It is a junction number, because it is equal to n+sod(n) for n = 51811791 and 51811800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78054 + ... + 78714.

Almost surely, 2^51811824 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 51811824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70924032).

51811824 is an abundant number, since it is smaller than the sum of its proper divisors (90036240).

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

51811824 is a wasteful number, since it uses less digits than its factorization.

51811824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 760 counting only the distinct ones).

The product of its digits is 2560, while the sum is 30.

The square root of 51811824 is about 7198.0430673899. The cubic root of 51811824 is about 372.8003349356.

Subtracting from 51811824 its reverse (42811815), we obtain a palindrome (9000009).

The spelling of 51811824 in words is "fifty-one million, eight hundred eleven thousand, eight hundred twenty-four".