61006072073 has 2 divisors, whose sum is σ = 61006072074. Its totient is φ = 61006072072.

The previous prime is 61006072067. The next prime is 61006072093. The reversal of 61006072073 is 37027060016.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57584641024 + 3421431049 = 239968^2 + 58493^2 .

It is a cyclic number.

It is not a de Polignac number, because 61006072073 - 2¹⁸ = 61005809929 is a prime.

It is not a weakly prime, because it can be changed into another prime (61006072003) 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, 30503036036 + 30503036037.

It is an arithmetic number, because the mean of its divisors is an integer number (30503036037).

Almost surely, 2^61006072073 is an apocalyptic number.

It is an amenable number.

61006072073 is a deficient number, since it is larger than the sum of its proper divisors (1).

61006072073 is an equidigital number, since it uses as much as digits as its factorization.

61006072073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10584, while the sum is 32.

The spelling of 61006072073 in words is "sixty-one billion, six million, seventy-two thousand, seventy-three".