51355520 has 64 divisors (see below), whose sum is σ = 127051200. Its totient is φ = 19826688.

The previous prime is 51355517. The next prime is 51355529. The reversal of 51355520 is 2555315.

51355520 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 (64).

It is a super-3 number, since 3×51355520³ (a number of 24 digits) contains 333 as substring.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 51355520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51355529) 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 7 ways as a sum of consecutive naturals, for example, 17177 + ... + 19943.

It is an arithmetic number, because the mean of its divisors is an integer number (1985175).

Almost surely, 2^51355520 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 51355520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63525600).

51355520 is an abundant number, since it is smaller than the sum of its proper divisors (75695680).

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

51355520 is a wasteful number, since it uses less digits than its factorization.

51355520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2815 (or 2803 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 26.

The square root of 51355520 is about 7166.2765785309. The cubic root of 51355520 is about 371.7026953573.

The spelling of 51355520 in words is "fifty-one million, three hundred fifty-five thousand, five hundred twenty".