51753312 has 144 divisors (see below), whose sum is σ = 165660768. Its totient is φ = 15206400.

The previous prime is 51753301. The next prime is 51753319. The reversal of 51753312 is 21335715.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51753319) 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 23 ways as a sum of consecutive naturals, for example, 85812 + ... + 86412.

It is an arithmetic number, because the mean of its divisors is an integer number (1150422).

Almost surely, 2^51753312 is an apocalyptic number.

51753312 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51753312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82830384).

51753312 is an abundant number, since it is smaller than the sum of its proper divisors (113907456).

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

51753312 is a wasteful number, since it uses less digits than its factorization.

51753312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 642 counting only the distinct ones).

The product of its digits is 3150, while the sum is 27.

The square root of 51753312 is about 7193.9774811991. The cubic root of 51753312 is about 372.6599454257.

It can be divided in two parts, 5175 and 3312, that multiplied together give a square (17139600 = 4140²).

The spelling of 51753312 in words is "fifty-one million, seven hundred fifty-three thousand, three hundred twelve".