53117120 has 112 divisors (see below), whose sum is σ = 150985728. Its totient is φ = 17402880.

The previous prime is 53117111. The next prime is 53117161. The reversal of 53117120 is 2171135.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 53117092 and 53117101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51005 + ... + 52035.

Almost surely, 2^53117120 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 53117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75492864).

53117120 is an abundant number, since it is smaller than the sum of its proper divisors (97868608).

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

53117120 is a wasteful number, since it uses less digits than its factorization.

53117120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 53117120 is about 7288.1492849694. The cubic root of 53117120 is about 375.9050612876.

Adding to 53117120 its reverse (2171135), we get a palindrome (55288255).

The spelling of 53117120 in words is "fifty-three million, one hundred seventeen thousand, one hundred twenty".