115285301 has 2 divisors, whose sum is σ = 115285302. Its totient is φ = 115285300.

The previous prime is 115285273. The next prime is 115285309. The reversal of 115285301 is 103582511.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80120401 + 35164900 = 8951^2 + 5930^2 .

It is a cyclic number.

It is not a de Polignac number, because 115285301 - 2¹⁸ = 115023157 is a prime.

It is a super-3 number, since 3×115285301³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (115285309) 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, 57642650 + 57642651.

It is an arithmetic number, because the mean of its divisors is an integer number (57642651).

Almost surely, 2^115285301 is an apocalyptic number.

It is an amenable number.

115285301 is a deficient number, since it is larger than the sum of its proper divisors (1).

115285301 is an equidigital number, since it uses as much as digits as its factorization.

115285301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1200, while the sum is 26.

The square root of 115285301 is about 10737.0992823947. The cubic root of 115285301 is about 486.6962267548.

The spelling of 115285301 in words is "one hundred fifteen million, two hundred eighty-five thousand, three hundred one".