51303516 has 72 divisors (see below), whose sum is σ = 133393680. Its totient is φ = 15333120.

The previous prime is 51303503. The next prime is 51303521. The reversal of 51303516 is 61530315.

51303516 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 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 23 ways as a sum of consecutive naturals, for example, 129030 + ... + 129426.

It is an arithmetic number, because the mean of its divisors is an integer number (1852690).

Almost surely, 2^51303516 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 51303516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66696840).

51303516 is an abundant number, since it is smaller than the sum of its proper divisors (82090164).

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

51303516 is a wasteful number, since it uses less digits than its factorization.

51303516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 51303516 is about 7162.6472759728. The cubic root of 51303516 is about 371.5771875551.

It can be divided in two parts, 5130 and 3516, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 51303516 in words is "fifty-one million, three hundred three thousand, five hundred sixteen".