53182800 has 360 divisors, whose sum is σ = 215879040. Its totient is φ = 11980800.

The previous prime is 53182793. The next prime is 53182807. The reversal of 53182800 is 828135.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (53182793) and next prime (53182807).

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53182807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 673161 + ... + 673239.

It is an arithmetic number, because the mean of its divisors is an integer number (599664).

Almost surely, 2^53182800 is an apocalyptic number.

53182800 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 53182800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107939520).

53182800 is an abundant number, since it is smaller than the sum of its proper divisors (162696240).

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

53182800 is a wasteful number, since it uses less digits than its factorization.

53182800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 53182800 is about 7292.6538379386. The cubic root of 53182800 is about 376.0599346137.

It can be divided in two parts, 5318 and 2800, that added together give a palindrome (8118).

The spelling of 53182800 in words is "fifty-three million, one hundred eighty-two thousand, eight hundred".