51375240 has 384 divisors, whose sum is σ = 213408000. Its totient is φ = 10450944.

The previous prime is 51375217. The next prime is 51375251. The reversal of 51375240 is 4257315.

It is a happy number.

51375240 is a `hidden beast` number, since 5 + 137 + 524 + 0 = 666.

51375240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1388502 + ... + 1388538.

It is an arithmetic number, because the mean of its divisors is an integer number (555750).

Almost surely, 2^51375240 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 51375240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106704000).

51375240 is an abundant number, since it is smaller than the sum of its proper divisors (162032760).

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

51375240 is a wasteful number, since it uses less digits than its factorization.

51375240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 51375240 is about 7167.6523353187. The cubic root of 51375240 is about 371.7502659602.

It can be divided in two parts, 51375 and 240, that added together give a palindrome (51615).

The spelling of 51375240 in words is "fifty-one million, three hundred seventy-five thousand, two hundred forty".