51825520 has 80 divisors (see below), whose sum is σ = 130170240. Its totient is φ = 19116032.

The previous prime is 51825497. The next prime is 51825533. The reversal of 51825520 is 2552815.

51825520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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, 71721 + ... + 72439.

It is an arithmetic number, because the mean of its divisors is an integer number (1627128).

Almost surely, 2^51825520 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 51825520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65085120).

51825520 is an abundant number, since it is smaller than the sum of its proper divisors (78344720).

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

51825520 is a wasteful number, since it uses less digits than its factorization.

51825520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 28.

The square root of 51825520 is about 7198.9943742164. The cubic root of 51825520 is about 372.8331808715.

The spelling of 51825520 in words is "fifty-one million, eight hundred twenty-five thousand, five hundred twenty".