115506541 has 2 divisors, whose sum is σ = 115506542. Its totient is φ = 115506540.

The previous prime is 115506511. The next prime is 115506571. The reversal of 115506541 is 145605511.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (115506511) and next prime (115506571).

It can be written as a sum of positive squares in only one way, i.e., 58201641 + 57304900 = 7629^2 + 7570^2 .

It is an emirp because it is prime and its reverse (145605511) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 115506541 - 2⁹ = 115506029 is a prime.

It is a super-2 number, since 2×115506541² = 26683522027569362, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (115506511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57753270 + 57753271.

It is an arithmetic number, because the mean of its divisors is an integer number (57753271).

Almost surely, 2^115506541 is an apocalyptic number.

It is an amenable number.

115506541 is a deficient number, since it is larger than the sum of its proper divisors (1).

115506541 is an equidigital number, since it uses as much as digits as its factorization.

115506541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3000, while the sum is 28.

The square root of 115506541 is about 10747.3969406550. The cubic root of 115506541 is about 487.0073617277.

The spelling of 115506541 in words is "one hundred fifteen million, five hundred six thousand, five hundred forty-one".