541075405797313 has 2 divisors, whose sum is σ = 541075405797314. Its totient is φ = 541075405797312.

The previous prime is 541075405797229. The next prime is 541075405797347. The reversal of 541075405797313 is 313797504570145.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 503406045370944 + 37669360426369 = 22436712^2 + 6137537^2 .

It is a cyclic number.

It is not a de Polignac number, because 541075405797313 - 2¹⁷ = 541075405666241 is a prime.

It is not a weakly prime, because it can be changed into another prime (541075405797383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270537702898656 + 270537702898657.

It is an arithmetic number, because the mean of its divisors is an integer number (270537702898657).

Almost surely, 2^{541075405797313} is an apocalyptic number.

It is an amenable number.

541075405797313 is a deficient number, since it is larger than the sum of its proper divisors (1).

541075405797313 is an equidigital number, since it uses as much as digits as its factorization.

541075405797313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 55566000, while the sum is 61.

The spelling of 541075405797313 in words is "five hundred forty-one trillion, seventy-five billion, four hundred five million, seven hundred ninety-seven thousand, three hundred thirteen".