53301312 has 168 divisors, whose sum is σ = 163369752. Its totient is φ = 16588800.

The previous prime is 53301293. The next prime is 53301329. The reversal of 53301312 is 21310335.

53301312 is a `hidden beast` number, since 53 + 301 + 312 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 69696 + 53231616 = 264^2 + 7296^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 873762 + ... + 873822.

It is an arithmetic number, because the mean of its divisors is an integer number (972439).

Almost surely, 2^53301312 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 53301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81684876).

53301312 is an abundant number, since it is smaller than the sum of its proper divisors (110068440).

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

53301312 is a wasteful number, since it uses less digits than its factorization.

53301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 53301312 is about 7300.7747534080. The cubic root of 53301312 is about 376.3390633998.

Adding to 53301312 its reverse (21310335), we get a palindrome (74611647).

The spelling of 53301312 in words is "fifty-three million, three hundred one thousand, three hundred twelve".