201085056 has 96 divisors (see below), whose sum is σ = 609164400. Its totient is φ = 63493632.

The previous prime is 201085009. The next prime is 201085057. The reversal of 201085056 is 650580102.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (201085057) 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, 17295 + ... + 26481.

Almost surely, 2^201085056 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 201085056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304582200).

201085056 is an abundant number, since it is smaller than the sum of its proper divisors (408079344).

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

201085056 is a wasteful number, since it uses less digits than its factorization.

201085056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9226 (or 9211 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 201085056 is about 14180.4462553193. The cubic root of 201085056 is about 585.8592151710.

The spelling of 201085056 in words is "two hundred one million, eighty-five thousand, fifty-six".