53505306 has 32 divisors (see below), whose sum is σ = 119160000. Its totient is φ = 17796240.

The previous prime is 53505301. The next prime is 53505323. The reversal of 53505306 is 60350535.

It is a happy number.

53505306 is a `hidden beast` number, since 5 + 350 + 5 + 306 = 666.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 53505306.

It is not an unprimeable number, because it can be changed into a prime (53505301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34945 + ... + 36443.

It is an arithmetic number, because the mean of its divisors is an integer number (3723750).

Almost surely, 2^53505306 is an apocalyptic number.

53505306 is an abundant number, since it is smaller than the sum of its proper divisors (65654694).

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

53505306 is a wasteful number, since it uses less digits than its factorization.

53505306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The square root of 53505306 is about 7314.7321208640. The cubic root of 53505306 is about 376.8185586624.

The spelling of 53505306 in words is "fifty-three million, five hundred five thousand, three hundred six".