53381120 has 96 divisors (see below), whose sum is σ = 138279960. Its totient is φ = 19660800.

The previous prime is 53381023. The next prime is 53381129. The reversal of 53381120 is 2118335.

It can be written as a sum of positive squares in 4 ways, for example, as 48219136 + 5161984 = 6944^2 + 2272^2 .

It is not an unprimeable number, because it can be changed into a prime (53381129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132920 + ... + 133320.

Almost surely, 2^53381120 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 53381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69139980).

53381120 is an abundant number, since it is smaller than the sum of its proper divisors (84898840).

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

53381120 is a wasteful number, since it uses less digits than its factorization.

53381120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 53381120 is about 7306.2384302731. The cubic root of 53381120 is about 376.5268004299.

Adding to 53381120 its reverse (2118335), we get a palindrome (55499455).

The spelling of 53381120 in words is "fifty-three million, three hundred eighty-one thousand, one hundred twenty".