52513200 has 180 divisors, whose sum is σ = 188894160. Its totient is φ = 13493760.

The previous prime is 52513183. The next prime is 52513213. The reversal of 52513200 is 231525.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 104149 + ... + 104651.

It is an arithmetic number, because the mean of its divisors is an integer number (1049412).

Almost surely, 2^52513200 is an apocalyptic number.

52513200 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 52513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94447080).

52513200 is an abundant number, since it is smaller than the sum of its proper divisors (136380960).

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

52513200 is a wasteful number, since it uses less digits than its factorization.

52513200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 542 counting only the distinct ones).

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

The square root of 52513200 is about 7246.5992023845. The cubic root of 52513200 is about 374.4749986726.

Adding to 52513200 its reverse (231525), we get a palindrome (52744725).

The spelling of 52513200 in words is "fifty-two million, five hundred thirteen thousand, two hundred".