201541425552 has 120 divisors (see below), whose sum is σ = 568597758456. Its totient is φ = 66637928448.

The previous prime is 201541425551. The next prime is 201541425577. The reversal of 201541425552 is 255524145102.

201541425552 is a `hidden beast` number, since 20 + 1 + 5 + 41 + 42 + 5 + 552 = 666.

201541425552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1055990016 + 200485435536 = 32496^2 + 447756^2 .

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

It is not an unprimeable number, because it can be changed into a prime (201541425551) 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 23 ways as a sum of consecutive naturals, for example, 31502418 + ... + 31508814.

Almost surely, 2^201541425552 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 201541425552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284298879228).

201541425552 is an abundant number, since it is smaller than the sum of its proper divisors (367056332904).

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

201541425552 is a wasteful number, since it uses less digits than its factorization.

201541425552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8145 (or 8136 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 201541425552 in words is "two hundred one billion, five hundred forty-one million, four hundred twenty-five thousand, five hundred fifty-two".