53205120 has 128 divisors (see below), whose sum is σ = 188496000. Its totient is φ = 14183424.

The previous prime is 53205109. The next prime is 53205137. The reversal of 53205120 is 2150235.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 53205093 and 53205102.

It is an unprimeable number.

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, 15741 + ... + 18819.

It is an arithmetic number, because the mean of its divisors is an integer number (1472625).

Almost surely, 2^53205120 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 53205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94248000).

53205120 is an abundant number, since it is smaller than the sum of its proper divisors (135290880).

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

53205120 is a wasteful number, since it uses less digits than its factorization.

53205120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3107 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 53205120 is about 7294.1839845181. The cubic root of 53205120 is about 376.1125361050.

Adding to 53205120 its reverse (2150235), we get a palindrome (55355355).

It can be divided in two parts, 5320 and 5120, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 53205120 in words is "fifty-three million, two hundred five thousand, one hundred twenty".