201341561521 has 9 divisors (see below), whose sum is σ = 201953210731. Its totient is φ = 200731763272.

The previous prime is 201341561483. The next prime is 201341561527. The reversal of 201341561521 is 125165143102.

The square root of 201341561521 is 448711.

It is a perfect power (a square), and thus also a powerful number.

201341561521 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 only one way, i.e., 97634376225 + 103707185296 = 312465^2 + 322036^2 .

It is a de Polignac number, because none of the positive numbers 2^k-201341561521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201341561527) 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 8 ways as a sum of consecutive naturals, for example, 252623895 + ... + 252624691.

Almost surely, 2^201341561521 is an apocalyptic number.

201341561521 is the 448711-st square number.

201341561521 is the 224356-th centered octagonal number.

It is an amenable number.

201341561521 is a deficient number, since it is larger than the sum of its proper divisors (611649210).

201341561521 is an frugal number, since it uses more digits than its factorization.

201341561521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The spelling of 201341561521 in words is "two hundred one billion, three hundred forty-one million, five hundred sixty-one thousand, five hundred twenty-one".