53542528 has 64 divisors (see below), whose sum is σ = 119952000. Its totient is φ = 23620608.

The previous prime is 53542519. The next prime is 53542529. The reversal of 53542528 is 82524535.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 53542493 and 53542502.

It is not an unprimeable number, because it can be changed into a prime (53542529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37573 + ... + 38971.

It is an arithmetic number, because the mean of its divisors is an integer number (1874250).

Almost surely, 2^53542528 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 53542528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59976000).

53542528 is an abundant number, since it is smaller than the sum of its proper divisors (66409472).

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

53542528 is a wasteful number, since it uses less digits than its factorization.

53542528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449 (or 1437 counting only the distinct ones).

The product of its digits is 48000, while the sum is 34.

The square root of 53542528 is about 7317.2759958881. The cubic root of 53542528 is about 376.9059187781.

The spelling of 53542528 in words is "fifty-three million, five hundred forty-two thousand, five hundred twenty-eight".