51095520 has 288 divisors, whose sum is σ = 206152128. Its totient is φ = 11280384.

The previous prime is 51095509. The next prime is 51095521. The reversal of 51095520 is 2559015.

51095520 is a `hidden beast` number, since 5 + 109 + 552 + 0 = 666.

51095520 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 (288).

It is a super-2 number, since 2×51095520² = 5221504328140800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51095521) 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 47 ways as a sum of consecutive naturals, for example, 372892 + ... + 373028.

It is an arithmetic number, because the mean of its divisors is an integer number (715806).

Almost surely, 2^51095520 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 51095520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103076064).

51095520 is an abundant number, since it is smaller than the sum of its proper divisors (155056608).

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

51095520 is a wasteful number, since it uses less digits than its factorization.

51095520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The square root of 51095520 is about 7148.1130377184. The cubic root of 51095520 is about 371.0743548947.

It can be divided in two parts, 51095 and 520, that added together give a palindrome (51615).

The spelling of 51095520 in words is "fifty-one million, ninety-five thousand, five hundred twenty".