53313300 has 108 divisors (see below), whose sum is σ = 171731196. Its totient is φ = 13824000.

The previous prime is 53313233. The next prime is 53313301. The reversal of 53313300 is 331335.

53313300 is a `hidden beast` number, since 5 + 331 + 330 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 10227204 + 43086096 = 3198^2 + 6564^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53313301) 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, 32500 + ... + 34100.

Almost surely, 2^53313300 is an apocalyptic number.

53313300 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 53313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85865598).

53313300 is an abundant number, since it is smaller than the sum of its proper divisors (118417896).

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

53313300 is a wasteful number, since it uses less digits than its factorization.

53313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 18.

The square root of 53313300 is about 7301.5957160062. The cubic root of 53313300 is about 376.3672754290.

Adding to 53313300 its reverse (331335), we get a palindrome (53644635).

The spelling of 53313300 in words is "fifty-three million, three hundred thirteen thousand, three hundred".