541075405737313 has 2 divisors, whose sum is σ = 541075405737314. Its totient is φ = 541075405737312.

The previous prime is 541075405737233. The next prime is 541075405737367. The reversal of 541075405737313 is 313737504570145.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 282988835241984 + 258086570495329 = 16822272^2 + 16065073^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-541075405737313 is a prime.

It is not a weakly prime, because it can be changed into another prime (541075405797313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270537702868656 + 270537702868657.

It is an arithmetic number, because the mean of its divisors is an integer number (270537702868657).

Almost surely, 2^{541075405737313} is an apocalyptic number.

It is an amenable number.

541075405737313 is a deficient number, since it is larger than the sum of its proper divisors (1).

541075405737313 is an equidigital number, since it uses as much as digits as its factorization.

541075405737313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18522000, while the sum is 55.

The spelling of 541075405737313 in words is "five hundred forty-one trillion, seventy-five billion, four hundred five million, seven hundred thirty-seven thousand, three hundred thirteen".