51805332 has 60 divisors (see below), whose sum is σ = 136604160. Its totient is φ = 17118864.

The previous prime is 51805321. The next prime is 51805337. The reversal of 51805332 is 23350815.

51805332 is a `hidden beast` number, since 51 + 80 + 533 + 2 = 666.

51805332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 51805296 and 51805305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51805337) 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 19 ways as a sum of consecutive naturals, for example, 40519 + ... + 41777.

It is an arithmetic number, because the mean of its divisors is an integer number (2276736).

Almost surely, 2^51805332 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 51805332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68302080).

51805332 is an abundant number, since it is smaller than the sum of its proper divisors (84798828).

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

51805332 is a wasteful number, since it uses less digits than its factorization.

51805332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1391 counting only the distinct ones).

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

The square root of 51805332 is about 7197.5920973615. The cubic root of 51805332 is about 372.7847637095.

The spelling of 51805332 in words is "fifty-one million, eight hundred five thousand, three hundred thirty-two".