61339550400017 has 2 divisors, whose sum is σ = 61339550400018. Its totient is φ = 61339550400016.

The previous prime is 61339550399989. The next prime is 61339550400031. The reversal of 61339550400017 is 71000405593316.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38001849310096 + 23337701089921 = 6164564^2 + 4830911^2 .

It is a cyclic number.

It is not a de Polignac number, because 61339550400017 - 2¹⁰ = 61339550398993 is a prime.

It is a super-3 number, since 3×61339550400017³ (a number of 42 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (61339550480017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30669775200008 + 30669775200009.

It is an arithmetic number, because the mean of its divisors is an integer number (30669775200009).

Almost surely, 2^{61339550400017} is an apocalyptic number.

It is an amenable number.

61339550400017 is a deficient number, since it is larger than the sum of its proper divisors (1).

61339550400017 is an equidigital number, since it uses as much as digits as its factorization.

61339550400017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 340200, while the sum is 44.

The spelling of 61339550400017 in words is "sixty-one trillion, three hundred thirty-nine billion, five hundred fifty million, four hundred thousand, seventeen".