61075067237117 has 2 divisors, whose sum is σ = 61075067237118. Its totient is φ = 61075067237116.

The previous prime is 61075067237047. The next prime is 61075067237137. The reversal of 61075067237117 is 71173276057016.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48359381636281 + 12715685600836 = 6954091^2 + 3565906^2 .

It is a cyclic number.

It is not a de Polignac number, because 61075067237117 - 2¹⁰ = 61075067236093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61075067237137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30537533618558 + 30537533618559.

It is an arithmetic number, because the mean of its divisors is an integer number (30537533618559).

Almost surely, 2^{61075067237117} is an apocalyptic number.

It is an amenable number.

61075067237117 is a deficient number, since it is larger than the sum of its proper divisors (1).

61075067237117 is an equidigital number, since it uses as much as digits as its factorization.

61075067237117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2593080, while the sum is 53.

The spelling of 61075067237117 in words is "sixty-one trillion, seventy-five billion, sixty-seven million, two hundred thirty-seven thousand, one hundred seventeen".