53526528 has 180 divisors, whose sum is σ = 174320440. Its totient is φ = 16220160.

The previous prime is 53526527. The next prime is 53526533. The reversal of 53526528 is 82562535.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (72000) is a multiple of the sum of its prime divisors (16).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 53526492 and 53526501.

It is not an unprimeable number, because it can be changed into a prime (53526527) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4866043 + ... + 4866053.

Almost surely, 2^53526528 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 53526528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87160220).

53526528 is an abundant number, since it is smaller than the sum of its proper divisors (120793912).

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

53526528 is an equidigital number, since it uses as much as digits as its factorization.

53526528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 16 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 53526528 is about 7316.1826111709. The cubic root of 53526528 is about 376.8683717059.

The spelling of 53526528 in words is "fifty-three million, five hundred twenty-six thousand, five hundred twenty-eight".