541564030331117 has 2 divisors, whose sum is σ = 541564030331118. Its totient is φ = 541564030331116.

The previous prime is 541564030331101. The next prime is 541564030331119. The reversal of 541564030331117 is 711133030465145.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 428892046864681 + 112671983466436 = 20709709^2 + 10614706^2 .

It is a cyclic number.

It is not a de Polignac number, because 541564030331117 - 2⁴ = 541564030331101 is a prime.

Together with 541564030331119, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (541564030331119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270782015165558 + 270782015165559.

It is an arithmetic number, because the mean of its divisors is an integer number (270782015165559).

Almost surely, 2^{541564030331117} is an apocalyptic number.

It is an amenable number.

541564030331117 is a deficient number, since it is larger than the sum of its proper divisors (1).

541564030331117 is an equidigital number, since it uses as much as digits as its factorization.

541564030331117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 453600, while the sum is 44.

The spelling of 541564030331117 in words is "five hundred forty-one trillion, five hundred sixty-four billion, thirty million, three hundred thirty-one thousand, one hundred seventeen".