53108352 has 192 divisors, whose sum is σ = 173644800. Its totient is φ = 15966720.

The previous prime is 53108351. The next prime is 53108359. The reversal of 53108352 is 25380135.

53108352 is a `hidden beast` number, since 531 + 0 + 83 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (53108351) 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, 418113 + ... + 418239.

It is an arithmetic number, because the mean of its divisors is an integer number (904400).

Almost surely, 2^53108352 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 53108352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86822400).

53108352 is an abundant number, since it is smaller than the sum of its proper divisors (120536448).

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

53108352 is a wasteful number, since it uses less digits than its factorization.

53108352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 53108352 is about 7287.5477356927. The cubic root of 53108352 is about 375.8843767014.

Adding to 53108352 its reverse (25380135), we get a palindrome (78488487).

It can be divided in two parts, 531083 and 52, that added together give a palindrome (531135).

The spelling of 53108352 in words is "fifty-three million, one hundred eight thousand, three hundred fifty-two".