51414132 has 72 divisors (see below), whose sum is σ = 152258400. Its totient is φ = 13352640.

The previous prime is 51414113. The next prime is 51414161. The reversal of 51414132 is 23141415.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 51414099 and 51414108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2494 + ... + 10442.

It is an arithmetic number, because the mean of its divisors is an integer number (2114700).

Almost surely, 2^51414132 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 51414132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76129200).

51414132 is an abundant number, since it is smaller than the sum of its proper divisors (100844268).

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

51414132 is a wasteful number, since it uses less digits than its factorization.

51414132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7981 (or 7972 counting only the distinct ones).

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

The square root of 51414132 is about 7170.3648442740. The cubic root of 51414132 is about 371.8440495579.

Adding to 51414132 its reverse (23141415), we get a palindrome (74555547).

It can be divided in two parts, 5141413 and 2, that added together give a palindrome (5141415).

The spelling of 51414132 in words is "fifty-one million, four hundred fourteen thousand, one hundred thirty-two".