51205616 has 80 divisors (see below), whose sum is σ = 125349120. Its totient is φ = 19683840.

The previous prime is 51205603. The next prime is 51205633. The reversal of 51205616 is 61650215.

51205616 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 15 ways as a sum of consecutive naturals, for example, 109415 + ... + 109881.

It is an arithmetic number, because the mean of its divisors is an integer number (1566864).

Almost surely, 2^51205616 is an apocalyptic number.

51205616 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51205616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62674560).

51205616 is an abundant number, since it is smaller than the sum of its proper divisors (74143504).

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

51205616 is a wasteful number, since it uses less digits than its factorization.

51205616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 51205616 is about 7155.8099471688. The cubic root of 51205616 is about 371.3406828400.

The spelling of 51205616 in words is "fifty-one million, two hundred five thousand, six hundred sixteen".