51811120 has 40 divisors (see below), whose sum is σ = 121286880. Its totient is φ = 20582400.

The previous prime is 51811103. The next prime is 51811127. The reversal of 51811120 is 2111815.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51811127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9936 + ... + 14224.

It is an arithmetic number, because the mean of its divisors is an integer number (3032172).

Almost surely, 2^51811120 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 51811120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60643440).

51811120 is an abundant number, since it is smaller than the sum of its proper divisors (69475760).

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

51811120 is a wasteful number, since it uses less digits than its factorization.

51811120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4453 (or 4447 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 19.

The square root of 51811120 is about 7197.9941650435. The cubic root of 51811120 is about 372.7986464367.

Adding to 51811120 its reverse (2111815), we get a palindrome (53922935).

The spelling of 51811120 in words is "fifty-one million, eight hundred eleven thousand, one hundred twenty".