53013688 has 96 divisors (see below), whose sum is σ = 126977760. Its totient is φ = 20563200.

The previous prime is 53013679. The next prime is 53013691. The reversal of 53013688 is 88631035.

It is a happy number.

53013688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×53013688² = 5620902230722688, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 514645 + ... + 514747.

It is an arithmetic number, because the mean of its divisors is an integer number (1322685).

Almost surely, 2^53013688 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 53013688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63488880).

53013688 is an abundant number, since it is smaller than the sum of its proper divisors (73964072).

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

53013688 is a wasteful number, since it uses less digits than its factorization.

53013688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 53013688 is about 7281.0499242898. The cubic root of 53013688 is about 375.6609097704.

The spelling of 53013688 in words is "fifty-three million, thirteen thousand, six hundred eighty-eight".