51506292 has 48 divisors (see below), whose sum is σ = 127572480. Its totient is φ = 16138848.

The previous prime is 51506267. The next prime is 51506293. The reversal of 51506292 is 29260515.

It is a happy number.

51506292 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51506293) 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 15 ways as a sum of consecutive naturals, for example, 14703 + ... + 17865.

It is an arithmetic number, because the mean of its divisors is an integer number (2657760).

Almost surely, 2^51506292 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 51506292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63786240).

51506292 is an abundant number, since it is smaller than the sum of its proper divisors (76066188).

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

51506292 is a wasteful number, since it uses less digits than its factorization.

51506292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3252 (or 3250 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 51506292 is about 7176.7884182272. The cubic root of 51506292 is about 372.0660941644.

The spelling of 51506292 in words is "fifty-one million, five hundred six thousand, two hundred ninety-two".