115072561 has 2 divisors, whose sum is σ = 115072562. Its totient is φ = 115072560.

The previous prime is 115072549. The next prime is 115072571. The reversal of 115072561 is 165270511.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77176225 + 37896336 = 8785^2 + 6156^2 .

It is a cyclic number.

It is not a de Polignac number, because 115072561 - 2⁹ = 115072049 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (115072501) 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, 57536280 + 57536281.

It is an arithmetic number, because the mean of its divisors is an integer number (57536281).

Almost surely, 2^115072561 is an apocalyptic number.

It is an amenable number.

115072561 is a deficient number, since it is larger than the sum of its proper divisors (1).

115072561 is an equidigital number, since it uses as much as digits as its factorization.

115072561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2100, while the sum is 28.

The square root of 115072561 is about 10727.1879353352. The cubic root of 115072561 is about 486.3966698923.

The spelling of 115072561 in words is "one hundred fifteen million, seventy-two thousand, five hundred sixty-one".