53131200 has 84 divisors (see below), whose sum is σ = 174330360. Its totient is φ = 14167040.

The previous prime is 53131193. The next prime is 53131231. The reversal of 53131200 is 213135.

It is a happy number.

53131200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 53131200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 735 + ... + 10334.

Almost surely, 2^53131200 is an apocalyptic number.

53131200 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 53131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87165180).

53131200 is an abundant number, since it is smaller than the sum of its proper divisors (121199160).

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

53131200 is a wasteful number, since it uses less digits than its factorization.

53131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11094 (or 11079 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 53131200 is about 7289.1151726393. The cubic root of 53131200 is about 375.9382726494.

Adding to 53131200 its reverse (213135), we get a palindrome (53344335).

The spelling of 53131200 in words is "fifty-three million, one hundred thirty-one thousand, two hundred".