53140584 has 128 divisors (see below), whose sum is σ = 159344640. Its totient is φ = 14452992.

The previous prime is 53140579. The next prime is 53140613. The reversal of 53140584 is 48504135.

53140584 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 2×53140584² = 5647843335722112, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 515877 + ... + 515979.

It is an arithmetic number, because the mean of its divisors is an integer number (1244880).

Almost surely, 2^53140584 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 53140584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79672320).

53140584 is an abundant number, since it is smaller than the sum of its proper divisors (106204056).

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

53140584 is a wasteful number, since it uses less digits than its factorization.

53140584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 53140584 is about 7289.7588437479. The cubic root of 53140584 is about 375.9604040090.

The spelling of 53140584 in words is "fifty-three million, one hundred forty thousand, five hundred eighty-four".