51756864 has 56 divisors (see below), whose sum is σ = 140147040. Its totient is φ = 16848384.

The previous prime is 51756841. The next prime is 51756871. The reversal of 51756864 is 46865715.

51756864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51756864² = 5357545942228992, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 5122 + ... + 11390.

Almost surely, 2^51756864 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 51756864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70073520).

51756864 is an abundant number, since it is smaller than the sum of its proper divisors (88390176).

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

51756864 is a wasteful number, since it uses less digits than its factorization.

51756864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6327 (or 6317 counting only the distinct ones).

The product of its digits is 201600, while the sum is 42.

The square root of 51756864 is about 7194.2243501298. The cubic root of 51756864 is about 372.6684708565.

The spelling of 51756864 in words is "fifty-one million, seven hundred fifty-six thousand, eight hundred sixty-four".