541573711252241 has 2 divisors, whose sum is σ = 541573711252242. Its totient is φ = 541573711252240.

The previous prime is 541573711252187. The next prime is 541573711252247. The reversal of 541573711252241 is 142252117375145.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 447725667501841 + 93848043750400 = 21159529^2 + 9687520^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-541573711252241 is a prime.

It is a super-3 number, since 3×541573711252241³ (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 541573711252241.

It is not a weakly prime, because it can be changed into another prime (541573711252247) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270786855626120 + 270786855626121.

It is an arithmetic number, because the mean of its divisors is an integer number (270786855626121).

Almost surely, 2^{541573711252241} is an apocalyptic number.

It is an amenable number.

541573711252241 is a deficient number, since it is larger than the sum of its proper divisors (1).

541573711252241 is an equidigital number, since it uses as much as digits as its factorization.

541573711252241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2352000, while the sum is 50.

The spelling of 541573711252241 in words is "five hundred forty-one trillion, five hundred seventy-three billion, seven hundred eleven million, two hundred fifty-two thousand, two hundred forty-one".