53005064 has 48 divisors (see below), whose sum is σ = 120657600. Its totient is φ = 21725088.

The previous prime is 53005039. The next prime is 53005067. The reversal of 53005064 is 46050035.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (53005067) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6077 + ... + 11955.

It is an arithmetic number, because the mean of its divisors is an integer number (2513700).

Almost surely, 2^53005064 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 53005064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60328800).

53005064 is an abundant number, since it is smaller than the sum of its proper divisors (67652536).

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

53005064 is a wasteful number, since it uses less digits than its factorization.

53005064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5922 (or 5911 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 53005064 is about 7280.4576779211. The cubic root of 53005064 is about 375.6405384569.

Adding to 53005064 its reverse (46050035), we get a palindrome (99055099).

The spelling of 53005064 in words is "fifty-three million, five thousand, sixty-four".