2117541017 has 2 divisors, whose sum is σ = 2117541018. Its totient is φ = 2117541016.

The previous prime is 2117541011. The next prime is 2117541059. The reversal of 2117541017 is 7101457112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1732557376 + 384983641 = 41624^2 + 19621^2 .

It is a cyclic number.

It is not a de Polignac number, because 2117541017 - 2¹² = 2117536921 is a prime.

It is not a weakly prime, because it can be changed into another prime (2117541011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1058770508 + 1058770509.

It is an arithmetic number, because the mean of its divisors is an integer number (1058770509).

Almost surely, 2^2117541017 is an apocalyptic number.

It is an amenable number.

2117541017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2117541017 is an equidigital number, since it uses as much as digits as its factorization.

2117541017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1960, while the sum is 29.

The square root of 2117541017 is about 46016.7471362329. The cubic root of 2117541017 is about 1284.1347851458.

Adding to 2117541017 its reverse (7101457112), we get a palindrome (9218998129).

The spelling of 2117541017 in words is "two billion, one hundred seventeen million, five hundred forty-one thousand, seventeen".