53118384 has 80 divisors (see below), whose sum is σ = 153799680. Its totient is φ = 15655680.

The previous prime is 53118383. The next prime is 53118389. The reversal of 53118384 is 48381135.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (53118383) 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 15 ways as a sum of consecutive naturals, for example, 18177 + ... + 20895.

It is an arithmetic number, because the mean of its divisors is an integer number (1922496).

Almost surely, 2^53118384 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 53118384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76899840).

53118384 is an abundant number, since it is smaller than the sum of its proper divisors (100681296).

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

53118384 is a wasteful number, since it uses less digits than its factorization.

53118384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778 (or 2772 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 53118384 is about 7288.2360005697. The cubic root of 53118384 is about 375.9080430019.

It can be divided in two parts, 5311 and 8384, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 53118384 in words is "fifty-three million, one hundred eighteen thousand, three hundred eighty-four".