541510352400113 has 2 divisors, whose sum is σ = 541510352400114. Its totient is φ = 541510352400112.

The previous prime is 541510352400067. The next prime is 541510352400169. The reversal of 541510352400113 is 311004253015145.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 430130676326464 + 111379676073649 = 20739592^2 + 10553657^2 .

It is a cyclic number.

It is not a de Polignac number, because 541510352400113 - 2²⁸ = 541510083964657 is a prime.

It is not a weakly prime, because it can be changed into another prime (541510352402113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270755176200056 + 270755176200057.

It is an arithmetic number, because the mean of its divisors is an integer number (270755176200057).

Almost surely, 2^{541510352400113} is an apocalyptic number.

It is an amenable number.

541510352400113 is a deficient number, since it is larger than the sum of its proper divisors (1).

541510352400113 is an equidigital number, since it uses as much as digits as its factorization.

541510352400113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36000, while the sum is 35.

The spelling of 541510352400113 in words is "five hundred forty-one trillion, five hundred ten billion, three hundred fifty-two million, four hundred thousand, one hundred thirteen".