53009600 has 84 divisors (see below), whose sum is σ = 149102064. Its totient is φ = 18170880.

The previous prime is 53009599. The next prime is 53009609. The reversal of 53009600 is 690035.

It is not an unprimeable number, because it can be changed into a prime (53009609) 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, 8834 + ... + 13566.

Almost surely, 2^53009600 is an apocalyptic number.

53009600 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 53009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74551032).

53009600 is an abundant number, since it is smaller than the sum of its proper divisors (96092464).

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

53009600 is a wasteful number, since it uses less digits than its factorization.

53009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4762 (or 4747 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 23.

The square root of 53009600 is about 7280.7691901337. The cubic root of 53009600 is about 375.6512535141.

Adding to 53009600 its reverse (690035), we get a palindrome (53699635).

The spelling of 53009600 in words is "fifty-three million, nine thousand, six hundred".