541564460260121 has 2 divisors, whose sum is σ = 541564460260122. Its totient is φ = 541564460260120.

The previous prime is 541564460260013. The next prime is 541564460260181. The reversal of 541564460260121 is 121062064465145.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 294762371136025 + 246802089124096 = 17168645^2 + 15709936^2 .

It is a cyclic number.

It is not a de Polignac number, because 541564460260121 - 2³⁴ = 541547280390937 is a prime.

It is not a weakly prime, because it can be changed into another prime (541564460260181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270782230130060 + 270782230130061.

It is an arithmetic number, because the mean of its divisors is an integer number (270782230130061).

Almost surely, 2^{541564460260121} is an apocalyptic number.

It is an amenable number.

541564460260121 is a deficient number, since it is larger than the sum of its proper divisors (1).

541564460260121 is an equidigital number, since it uses as much as digits as its factorization.

541564460260121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1382400, while the sum is 47.

The spelling of 541564460260121 in words is "five hundred forty-one trillion, five hundred sixty-four billion, four hundred sixty million, two hundred sixty thousand, one hundred twenty-one".