51271120 has 80 divisors (see below), whose sum is σ = 127224000. Its totient is φ = 19160064.

The previous prime is 51271067. The next prime is 51271127. The reversal of 51271120 is 2117215.

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

It is a super-3 number, since 3×51271120³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51271127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135091 + ... + 135469.

It is an arithmetic number, because the mean of its divisors is an integer number (1590300).

Almost surely, 2^51271120 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 51271120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63612000).

51271120 is an abundant number, since it is smaller than the sum of its proper divisors (75952880).

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

51271120 is a wasteful number, since it uses less digits than its factorization.

51271120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 19.

The square root of 51271120 is about 7160.3854644844. The cubic root of 51271120 is about 371.4989593286.

Adding to 51271120 its reverse (2117215), we get a palindrome (53388335).

The spelling of 51271120 in words is "fifty-one million, two hundred seventy-one thousand, one hundred twenty".