53311200 has 144 divisors (see below), whose sum is σ = 176082480. Its totient is φ = 14008320.

The previous prime is 53311187. The next prime is 53311211. The reversal of 53311200 is 211335.

It is a happy number.

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 53311200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232686 + ... + 232914.

It is an arithmetic number, because the mean of its divisors is an integer number (1222795).

Almost surely, 2^53311200 is an apocalyptic number.

53311200 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 53311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88041240).

53311200 is an abundant number, since it is smaller than the sum of its proper divisors (122771280).

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

53311200 is a wasteful number, since it uses less digits than its factorization.

53311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 336 counting only the distinct ones).

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

The square root of 53311200 is about 7301.4519104080. The cubic root of 53311200 is about 376.3623336874.

Adding to 53311200 its reverse (211335), we get a palindrome (53522535).

The spelling of 53311200 in words is "fifty-three million, three hundred eleven thousand, two hundred".