53180064 has 144 divisors (see below), whose sum is σ = 179419968. Its totient is φ = 15178752.

The previous prime is 53180047. The next prime is 53180167. The reversal of 53180064 is 46008135.

53180064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53944 + ... + 54920.

It is an arithmetic number, because the mean of its divisors is an integer number (1245972).

Almost surely, 2^53180064 is an apocalyptic number.

53180064 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 53180064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89709984).

53180064 is an abundant number, since it is smaller than the sum of its proper divisors (126239904).

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

53180064 is an equidigital number, since it uses as much as digits as its factorization.

53180064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 53180064 is about 7292.4662494934. The cubic root of 53180064 is about 376.0534856764.

Adding to 53180064 its reverse (46008135), we get a palindrome (99188199).

The spelling of 53180064 in words is "fifty-three million, one hundred eighty thousand, sixty-four".