53585000 has 80 divisors (see below), whose sum is σ = 143579040. Its totient is φ = 18360000.

The previous prime is 53584987. The next prime is 53585027. The reversal of 53585000 is 58535.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 34235 + ... + 35765.

It is an arithmetic number, because the mean of its divisors is an integer number (1794738).

Almost surely, 2^53585000 is an apocalyptic number.

53585000 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 53585000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71789520).

53585000 is an abundant number, since it is smaller than the sum of its proper divisors (89994040).

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

53585000 is a wasteful number, since it uses less digits than its factorization.

53585000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The square root of 53585000 is about 7320.1775934741. The cubic root of 53585000 is about 377.0055512132.

The spelling of 53585000 in words is "fifty-three million, five hundred eighty-five thousand".