53201600 has 84 divisors (see below), whose sum is σ = 134267448. Its totient is φ = 20736000.

The previous prime is 53201569. The next prime is 53201609. The reversal of 53201600 is 610235.

It is not an unprimeable number, because it can be changed into a prime (53201609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65195 + ... + 66005.

It is an arithmetic number, because the mean of its divisors is an integer number (1598422).

Almost surely, 2^53201600 is an apocalyptic number.

53201600 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 53201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67133724).

53201600 is an abundant number, since it is smaller than the sum of its proper divisors (81065848).

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

53201600 is a wasteful number, since it uses less digits than its factorization.

53201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 53201600 is about 7293.9426923989. The cubic root of 53201600 is about 376.1042415066.

Adding to 53201600 its reverse (610235), we get a palindrome (53811835).

The spelling of 53201600 in words is "fifty-three million, two hundred one thousand, six hundred".