61506601571017 has 2 divisors, whose sum is σ = 61506601571018. Its totient is φ = 61506601571016.

The previous prime is 61506601570987. The next prime is 61506601571029. The reversal of 61506601571017 is 71017510660516.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54996403393936 + 6510198177081 = 7415956^2 + 2551509^2 .

It is a cyclic number.

It is not a de Polignac number, because 61506601571017 - 2¹⁹ = 61506601046729 is a prime.

It is not a weakly prime, because it can be changed into another prime (61506601571117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30753300785508 + 30753300785509.

It is an arithmetic number, because the mean of its divisors is an integer number (30753300785509).

Almost surely, 2^{61506601571017} is an apocalyptic number.

It is an amenable number.

61506601571017 is a deficient number, since it is larger than the sum of its proper divisors (1).

61506601571017 is an equidigital number, since it uses as much as digits as its factorization.

61506601571017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 264600, while the sum is 46.

The spelling of 61506601571017 in words is "sixty-one trillion, five hundred six billion, six hundred one million, five hundred seventy-one thousand, seventeen".