53000584 has 64 divisors (see below), whose sum is σ = 124992000. Its totient is φ = 20507904.

The previous prime is 53000581. The next prime is 53000587. The reversal of 53000584 is 48500035.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (53000581) and next prime (53000587).

It is not an unprimeable number, because it can be changed into a prime (53000581) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 33442 + ... + 34990.

It is an arithmetic number, because the mean of its divisors is an integer number (1953000).

Almost surely, 2^53000584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53000584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62496000).

53000584 is an abundant number, since it is smaller than the sum of its proper divisors (71991416).

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

53000584 is a wasteful number, since it uses less digits than its factorization.

53000584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 53000584 is about 7280.1499984547. The cubic root of 53000584 is about 375.6299550843.

The spelling of 53000584 in words is "fifty-three million, five hundred eighty-four", and thus it is an aban number.