51957288 has 112 divisors (see below), whose sum is σ = 149522400. Its totient is φ = 16912800.

The previous prime is 51957281. The next prime is 51957289. The reversal of 51957288 is 88275915.

It is a happy number.

51957288 is a `hidden beast` number, since 519 + 57 + 2 + 88 = 666.

It is a super-3 number, since 3×51957288³ (a number of 24 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (51957281) 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 27 ways as a sum of consecutive naturals, for example, 344013 + ... + 344163.

Almost surely, 2^51957288 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 51957288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74761200).

51957288 is an abundant number, since it is smaller than the sum of its proper divisors (97565112).

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

51957288 is a wasteful number, since it uses less digits than its factorization.

51957288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 215 counting only the distinct ones).

The product of its digits is 201600, while the sum is 45.

The square root of 51957288 is about 7208.1403981887. The cubic root of 51957288 is about 373.1488934473.

The spelling of 51957288 in words is "fifty-one million, nine hundred fifty-seven thousand, two hundred eighty-eight".