201085512 has 64 divisors (see below), whose sum is σ = 532440000. Its totient is φ = 63108864.

The previous prime is 201085457. The next prime is 201085513. The reversal of 201085512 is 215580102.

201085512 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 (201085513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77614 + ... + 80162.

It is an arithmetic number, because the mean of its divisors is an integer number (8319375).

Almost surely, 2^201085512 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 201085512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266220000).

201085512 is an abundant number, since it is smaller than the sum of its proper divisors (331354488).

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

201085512 is a wasteful number, since it uses less digits than its factorization.

201085512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2750 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 201085512 is about 14180.4623337887. The cubic root of 201085512 is about 585.8596580211.

The spelling of 201085512 in words is "two hundred one million, eighty-five thousand, five hundred twelve".