53005260 has 216 divisors, whose sum is σ = 191041200. Its totient is φ = 10940160.

The previous prime is 53005259. The next prime is 53005289. The reversal of 53005260 is 6250035.

53005260 is digitally balanced in base 2 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

53005260 is strictly pandigital in base 9.

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 71 ways as a sum of consecutive naturals, for example, 355666 + ... + 355814.

It is an arithmetic number, because the mean of its divisors is an integer number (884450).

Almost surely, 2^53005260 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 53005260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95520600).

53005260 is an abundant number, since it is smaller than the sum of its proper divisors (138035940).

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

53005260 is a wasteful number, since it uses less digits than its factorization.

53005260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 53005260 is about 7280.4711386009. The cubic root of 53005260 is about 375.6410014658.

Adding to 53005260 its reverse (6250035), we get a palindrome (59255295).

The spelling of 53005260 in words is "fifty-three million, five thousand, two hundred sixty".