54253120 has 56 divisors (see below), whose sum is σ = 136803384. Its totient is φ = 20422656.

The previous prime is 54253109. The next prime is 54253139. The reversal of 54253120 is 2135245.

54253120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3444736 + 50808384 = 1856^2 + 7128^2 .

It is a junction number, because it is equal to n+sod(n) for n = 54253091 and 54253100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 454 + ... + 10426.

Almost surely, 2^54253120 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 54253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68401692).

54253120 is an abundant number, since it is smaller than the sum of its proper divisors (82550264).

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

54253120 is a wasteful number, since it uses less digits than its factorization.

54253120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10007 (or 9997 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 54253120 is about 7365.6717276838. The cubic root of 54253120 is about 378.5659709329.

Adding to 54253120 its reverse (2135245), we get a palindrome (56388365).

The spelling of 54253120 in words is "fifty-four million, two hundred fifty-three thousand, one hundred twenty".