53111200 has 72 divisors (see below), whose sum is σ = 130702572. Its totient is φ = 21073920.

The previous prime is 53111189. The next prime is 53111203. The reversal of 53111200 is 211135.

It can be written as a sum of positive squares in 6 ways, for example, as 29724304 + 23386896 = 5452^2 + 4836^2 .

It is not an unprimeable number, because it can be changed into a prime (53111203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157432 + ... + 157768.

Almost surely, 2^53111200 is an apocalyptic number.

53111200 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 53111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65351286).

53111200 is an abundant number, since it is smaller than the sum of its proper divisors (77591372).

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

53111200 is a wasteful number, since it uses less digits than its factorization.

53111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 53111200 is about 7287.7431348806. The cubic root of 53111200 is about 375.8910956670.

Adding to 53111200 its reverse (211135), we get a palindrome (53322335).

The spelling of 53111200 in words is "fifty-three million, one hundred eleven thousand, two hundred".