51645132 has 144 divisors (see below), whose sum is σ = 168290304. Its totient is φ = 12960000.

The previous prime is 51645131. The next prime is 51645137. The reversal of 51645132 is 23154615.

51645132 is a `hidden beast` number, since 5 + 1 + 645 + 13 + 2 = 666.

51645132 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a junction number, because it is equal to n+sod(n) for n = 51645096 and 51645105.

It is not an unprimeable number, because it can be changed into a prime (51645131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85632 + ... + 86232.

Almost surely, 2^51645132 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 51645132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84145152).

51645132 is an abundant number, since it is smaller than the sum of its proper divisors (116645172).

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

51645132 is a wasteful number, since it uses less digits than its factorization.

51645132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 655 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 51645132 is about 7186.4547587806. The cubic root of 51645132 is about 372.4001071422.

Adding to 51645132 its reverse (23154615), we get a palindrome (74799747).

It can be divided in two parts, 5164 and 5132, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 51645132 in words is "fifty-one million, six hundred forty-five thousand, one hundred thirty-two".