51506532 has 144 divisors (see below), whose sum is σ = 172029312. Its totient is φ = 12579840.

The previous prime is 51506503. The next prime is 51506569. The reversal of 51506532 is 23560515.

51506532 is a `hidden beast` number, since 5 + 1 + 5 + 0 + 653 + 2 = 666.

51506532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 51506496 and 51506505.

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 47 ways as a sum of consecutive naturals, for example, 46578 + ... + 47670.

It is an arithmetic number, because the mean of its divisors is an integer number (1194648).

Almost surely, 2^51506532 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 51506532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86014656).

51506532 is an abundant number, since it is smaller than the sum of its proper divisors (120522780).

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

51506532 is a wasteful number, since it uses less digits than its factorization.

51506532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 51506532 is about 7176.8051387787. The cubic root of 51506532 is about 372.0666720596.

The spelling of 51506532 in words is "fifty-one million, five hundred six thousand, five hundred thirty-two".