541013008513 has 2 divisors, whose sum is σ = 541013008514. Its totient is φ = 541013008512.

The previous prime is 541013008441. The next prime is 541013008579. The reversal of 541013008513 is 315800310145.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 538085332849 + 2927675664 = 733543^2 + 54108^2 .

It is a cyclic number.

It is not a de Polignac number, because 541013008513 - 2¹³ = 541013000321 is a prime.

It is not a weakly prime, because it can be changed into another prime (541013009513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270506504256 + 270506504257.

It is an arithmetic number, because the mean of its divisors is an integer number (270506504257).

Almost surely, 2^541013008513 is an apocalyptic number.

It is an amenable number.

541013008513 is a deficient number, since it is larger than the sum of its proper divisors (1).

541013008513 is an equidigital number, since it uses as much as digits as its factorization.

541013008513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7200, while the sum is 31.

Adding to 541013008513 its reverse (315800310145), we get a palindrome (856813318658).

The spelling of 541013008513 in words is "five hundred forty-one billion, thirteen million, eight thousand, five hundred thirteen".