53344512 has 162 divisors, whose sum is σ = 167762322. Its totient is φ = 16293888.

The previous prime is 53344507. The next prime is 53344517. The reversal of 53344512 is 21544335.

It is an interprime number because it is at equal distance from previous prime (53344507) and next prime (53344517).

It can be written as a sum of positive squares in 3 ways, for example, as 112896 + 53231616 = 336^2 + 7296^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53344517) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 389308 + ... + 389444.

Almost surely, 2^53344512 is an apocalyptic number.

53344512 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 53344512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83881161).

53344512 is an abundant number, since it is smaller than the sum of its proper divisors (114417810).

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

53344512 is a wasteful number, since it uses less digits than its factorization.

53344512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 155 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 53344512 is about 7303.7327442890. The cubic root of 53344512 is about 376.4407085354.

Adding to 53344512 its reverse (21544335), we get a palindrome (74888847).

The spelling of 53344512 in words is "fifty-three million, three hundred forty-four thousand, five hundred twelve".