53540520 has 128 divisors (see below), whose sum is σ = 179159040. Its totient is φ = 12688640.

The previous prime is 53540507. The next prime is 53540521. The reversal of 53540520 is 2504535.

53540520 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 (24).

It is not an unprimeable number, because it can be changed into a prime (53540521) by changing a digit.

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, 61609 + ... + 62471.

It is an arithmetic number, because the mean of its divisors is an integer number (1399680).

Almost surely, 2^53540520 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 53540520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89579520).

53540520 is an abundant number, since it is smaller than the sum of its proper divisors (125618520).

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

53540520 is a wasteful number, since it uses less digits than its factorization.

53540520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 53540520 is about 7317.1387850717. The cubic root of 53540520 is about 376.9012070310.

The spelling of 53540520 in words is "fifty-three million, five hundred forty thousand, five hundred twenty".