51191280 has 180 divisors, whose sum is σ = 200123352. Its totient is φ = 11692800.

The previous prime is 51191279. The next prime is 51191281. The reversal of 51191280 is 8219115.

51191280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51191279) and next prime (51191281).

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51191281) 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 35 ways as a sum of consecutive naturals, for example, 34555 + ... + 36005.

Almost surely, 2^51191280 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 51191280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100061676).

51191280 is an abundant number, since it is smaller than the sum of its proper divisors (148932072).

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

51191280 is a wasteful number, since it uses less digits than its factorization.

51191280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 51191280 is about 7154.8081735292. The cubic root of 51191280 is about 371.3060249429.

The spelling of 51191280 in words is "fifty-one million, one hundred ninety-one thousand, two hundred eighty".