51116832 has 240 divisors, whose sum is σ = 170328312. Its totient is φ = 14929920.

The previous prime is 51116803. The next prime is 51116837. The reversal of 51116832 is 23861115.

51116832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 32764176 + 18352656 = 5724^2 + 4284^2 .

It is a super-2 number, since 2×51116832² = 5225861027432448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (1440) is a multiple of the sum of its prime divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 51116796 and 51116805.

It is not an unprimeable number, because it can be changed into a prime (51116837) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1246732 + ... + 1246772.

Almost surely, 2^51116832 is an apocalyptic number.

51116832 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51116832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85164156).

51116832 is an abundant number, since it is smaller than the sum of its proper divisors (119211480).

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

51116832 is a wasteful number, since it uses less digits than its factorization.

51116832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 96 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 51116832 is about 7149.6036253767. The cubic root of 51116832 is about 371.1259395697.

Adding to 51116832 its reverse (23861115), we get a palindrome (74977947).

The spelling of 51116832 in words is "fifty-one million, one hundred sixteen thousand, eight hundred thirty-two".