53013582 has 96 divisors (see below), whose sum is σ = 129676800. Its totient is φ = 16039296.

The previous prime is 53013577. The next prime is 53013593. The reversal of 53013582 is 28531035.

53013582 is a `hidden beast` number, since 5 + 301 + 358 + 2 = 666.

53013582 is digitally balanced in base 2, because in such base 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 (27).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 671019 + ... + 671097.

It is an arithmetic number, because the mean of its divisors is an integer number (1350800).

Almost surely, 2^53013582 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53013582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64838400).

53013582 is an abundant number, since it is smaller than the sum of its proper divisors (76663218).

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

53013582 is a wasteful number, since it uses less digits than its factorization.

53013582 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 53013582 is about 7281.0426451162. The cubic root of 53013582 is about 375.6606593943.

The spelling of 53013582 in words is "fifty-three million, thirteen thousand, five hundred eighty-two".