51042320 has 120 divisors (see below), whose sum is σ = 143127000. Its totient is φ = 16859136.

The previous prime is 51042319. The next prime is 51042323. The reversal of 51042320 is 2324015.

It can be written as a sum of positive squares in 4 ways, for example, as 7376656 + 43665664 = 2716^2 + 6608^2 .

It is not an unprimeable number, because it can be changed into a prime (51042323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113456 + ... + 113904.

It is an arithmetic number, because the mean of its divisors is an integer number (1192725).

Almost surely, 2^51042320 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 51042320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71563500).

51042320 is an abundant number, since it is smaller than the sum of its proper divisors (92084680).

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

51042320 is a wasteful number, since it uses less digits than its factorization.

51042320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 51042320 is about 7144.3908067798. The cubic root of 51042320 is about 370.9455242193.

Adding to 51042320 its reverse (2324015), we get a palindrome (53366335).

The spelling of 51042320 in words is "fifty-one million, forty-two thousand, three hundred twenty".