53313120 has 384 divisors, whose sum is σ = 223534080. Its totient is φ = 11612160.

The previous prime is 53313089. The next prime is 53313121. The reversal of 53313120 is 2131335.

53313120 is a `hidden beast` number, since 533 + 13 + 120 = 666.

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 = 53313093 and 53313102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53313121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1239819 + ... + 1239861.

It is an arithmetic number, because the mean of its divisors is an integer number (582120).

Almost surely, 2^53313120 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 53313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111767040).

53313120 is an abundant number, since it is smaller than the sum of its proper divisors (170220960).

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

53313120 is a wasteful number, since it uses less digits than its factorization.

53313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 53313120 is about 7301.5833899230. The cubic root of 53313120 is about 376.3668518562.

Adding to 53313120 its reverse (2131335), we get a palindrome (55444455).

The spelling of 53313120 in words is "fifty-three million, three hundred thirteen thousand, one hundred twenty".