201321528 has 64 divisors (see below), whose sum is σ = 517376640. Its totient is φ = 65245824.

The previous prime is 201321493. The next prime is 201321529. The reversal of 201321528 is 825123102.

201321528 is digitally balanced in base 3, 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 a junction number, because it is equal to n+sod(n) for n = 201321498 and 201321507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201321529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 384675 + ... + 385197.

It is an arithmetic number, because the mean of its divisors is an integer number (8084010).

Almost surely, 2^201321528 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 201321528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258688320).

201321528 is an abundant number, since it is smaller than the sum of its proper divisors (316055112).

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

201321528 is a wasteful number, since it uses less digits than its factorization.

201321528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 201321528 is about 14188.7817658881. The cubic root of 201321528 is about 586.0887781099.

The spelling of 201321528 in words is "two hundred one million, three hundred twenty-one thousand, five hundred twenty-eight".