53117200 has 90 divisors (see below), whose sum is σ = 132508446. Its totient is φ = 20459520.

The previous prime is 53117177. The next prime is 53117201. The reversal of 53117200 is 271135.

It can be written as a sum of positive squares in 9 ways, for example, as 583696 + 52533504 = 764^2 + 7248^2 .

It is not an unprimeable number, because it can be changed into a prime (53117201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 547552 + ... + 547648.

Almost surely, 2^53117200 is an apocalyptic number.

53117200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53117200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66254223).

53117200 is an abundant number, since it is smaller than the sum of its proper divisors (79391246).

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

53117200 is a wasteful number, since it uses less digits than its factorization.

53117200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 53117200 is about 7288.1547733291. The cubic root of 53117200 is about 375.9052500051.

Adding to 53117200 its reverse (271135), we get a palindrome (53388335).

The spelling of 53117200 in words is "fifty-three million, one hundred seventeen thousand, two hundred".