53133600 has 216 divisors, whose sum is σ = 188706672. Its totient is φ = 12979200.

The previous prime is 53133589. The next prime is 53133601. The reversal of 53133600 is 633135.

It is not an unprimeable number, because it can be changed into a prime (53133601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 405535 + ... + 405665.

It is an arithmetic number, because the mean of its divisors is an integer number (873642).

Almost surely, 2^53133600 is an apocalyptic number.

53133600 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 53133600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94353336).

53133600 is an abundant number, since it is smaller than the sum of its proper divisors (135573072).

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

53133600 is a wasteful number, since it uses less digits than its factorization.

53133600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 21.

The square root of 53133600 is about 7289.2797998156. The cubic root of 53133600 is about 375.9439330917.

Adding to 53133600 its reverse (633135), we get a palindrome (53766735).

The spelling of 53133600 in words is "fifty-three million, one hundred thirty-three thousand, six hundred".