53512000 has 56 divisors (see below), whose sum is σ = 132542280. Its totient is φ = 21401600.

The previous prime is 53511979. The next prime is 53512001. The reversal of 53512000 is 21535.

It can be written as a sum of positive squares in 4 ways, for example, as 46656 + 53465344 = 216^2 + 7312^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53512001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4656 + ... + 11344.

Almost surely, 2^53512000 is an apocalyptic number.

53512000 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 53512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66271140).

53512000 is an abundant number, since it is smaller than the sum of its proper divisors (79030280).

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

53512000 is an equidigital number, since it uses as much as digits as its factorization.

53512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6716 (or 6696 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 53512000 is about 7315.1896762832. The cubic root of 53512000 is about 376.8342724824.

Adding to 53512000 its reverse (21535), we get a palindrome (53533535).

The spelling of 53512000 in words is "fifty-three million, five hundred twelve thousand".