53318100 has 144 divisors (see below), whose sum is σ = 170989056. Its totient is φ = 12720000.

The previous prime is 53318077. The next prime is 53318107. The reversal of 53318100 is 181335.

It is a happy number.

53318100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×53318100² = 5685639575220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53318107) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 353025 + ... + 353175.

It is an arithmetic number, because the mean of its divisors is an integer number (1187424).

Almost surely, 2^53318100 is an apocalyptic number.

53318100 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 53318100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85494528).

53318100 is an abundant number, since it is smaller than the sum of its proper divisors (117670956).

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

53318100 is a wasteful number, since it uses less digits than its factorization.

53318100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 53318100 is about 7301.9244038815. The cubic root of 53318100 is about 376.3785703510.

Adding to 53318100 its reverse (181335), we get a palindrome (53499435).

It can be divided in two parts, 5331 and 8100, that added together give a palindrome (13431).

The spelling of 53318100 in words is "fifty-three million, three hundred eighteen thousand, one hundred".