415101241 has 2 divisors, whose sum is σ = 415101242. Its totient is φ = 415101240.

The previous prime is 415101229. The next prime is 415101259. The reversal of 415101241 is 142101514.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 362102841 + 52998400 = 19029^2 + 7280^2 .

It is a cyclic number.

It is not a de Polignac number, because 415101241 - 2¹⁷ = 414970169 is a prime.

It is not a weakly prime, because it can be changed into another prime (415101641) 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, 207550620 + 207550621.

It is an arithmetic number, because the mean of its divisors is an integer number (207550621).

Almost surely, 2^415101241 is an apocalyptic number.

It is an amenable number.

415101241 is a deficient number, since it is larger than the sum of its proper divisors (1).

415101241 is an equidigital number, since it uses as much as digits as its factorization.

415101241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 415101241 is about 20374.0334985491. The cubic root of 415101241 is about 745.9642430997.

Adding to 415101241 its reverse (142101514), we get a palindrome (557202755).

The spelling of 415101241 in words is "four hundred fifteen million, one hundred one thousand, two hundred forty-one".