53011584 has 80 divisors (see below), whose sum is σ = 157792470. Its totient is φ = 17667072.

The previous prime is 53011583. The next prime is 53011591. The reversal of 53011584 is 48511035.

It can be written as a sum of positive squares in only one way, i.e., 52881984 + 129600 = 7272^2 + 360^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (53011583) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7812 + ... + 12924.

Almost surely, 2^53011584 is an apocalyptic number.

53011584 is a gapful number since it is divisible by the number (54) 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 53011584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78896235).

53011584 is an abundant number, since it is smaller than the sum of its proper divisors (104780886).

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

53011584 is an equidigital number, since it uses as much as digits as its factorization.

53011584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5139 (or 5118 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 53011584 is about 7280.9054381993. The cubic root of 53011584 is about 375.6559399783.

The spelling of 53011584 in words is "fifty-three million, eleven thousand, five hundred eighty-four".