201056256 has 168 divisors, whose sum is σ = 608268024. Its totient is φ = 66355200.

The previous prime is 201056239. The next prime is 201056269. The reversal of 201056256 is 652650102.

201056256 is a `hidden beast` number, since 20 + 10 + 5 + 625 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1990606 + ... + 1990706.

It is an arithmetic number, because the mean of its divisors is an integer number (3620643).

Almost surely, 2^201056256 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 201056256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304134012).

201056256 is an abundant number, since it is smaller than the sum of its proper divisors (407211768).

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

201056256 is an frugal number, since it uses more digits than its factorization.

201056256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 201056256 is about 14179.4307361050. The cubic root of 201056256 is about 585.8312443356.

The spelling of 201056256 in words is "two hundred one million, fifty-six thousand, two hundred fifty-six".