53005160 has 48 divisors (see below), whose sum is σ = 129157740. Its totient is φ = 19568640.

The previous prime is 53005123. The next prime is 53005177. The reversal of 53005160 is 6150035.

It can be written as a sum of positive squares in 6 ways, for example, as 3189796 + 49815364 = 1786^2 + 7058^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2840 + ... + 10680.

Almost surely, 2^53005160 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 53005160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64578870).

53005160 is an abundant number, since it is smaller than the sum of its proper divisors (76152580).

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

53005160 is a wasteful number, since it uses less digits than its factorization.

53005160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7878 (or 7861 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 53005160 is about 7280.4642709102. The cubic root of 53005160 is about 375.6407652369.

Adding to 53005160 its reverse (6150035), we get a palindrome (59155195).

The spelling of 53005160 in words is "fifty-three million, five thousand, one hundred sixty".