115306562601541 has 2 divisors, whose sum is σ = 115306562601542. Its totient is φ = 115306562601540.

The previous prime is 115306562601533. The next prime is 115306562601563. The reversal of 115306562601541 is 145106265603511.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 114590387996100 + 716174605441 = 10704690^2 + 846271^2 .

It is a cyclic number.

It is not a de Polignac number, because 115306562601541 - 2³ = 115306562601533 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 115306562601491 and 115306562601500.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (115306562601521) 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, 57653281300770 + 57653281300771.

It is an arithmetic number, because the mean of its divisors is an integer number (57653281300771).

Almost surely, 2^{115306562601541} is an apocalyptic number.

It is an amenable number.

115306562601541 is a deficient number, since it is larger than the sum of its proper divisors (1).

115306562601541 is an equidigital number, since it uses as much as digits as its factorization.

115306562601541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648000, while the sum is 46.

The spelling of 115306562601541 in words is "one hundred fifteen trillion, three hundred six billion, five hundred sixty-two million, six hundred one thousand, five hundred forty-one".