993033255560161 has 2 divisors, whose sum is σ = 993033255560162. Its totient is φ = 993033255560160.

The previous prime is 993033255560123. The next prime is 993033255560237. The reversal of 993033255560161 is 161065552330399.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 543182687438400 + 449850568121761 = 23306280^2 + 21209681^2 .

It is an emirp because it is prime and its reverse (161065552330399) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 993033255560161 - 2²⁵ = 993033222005729 is a prime.

It is a super-2 number, since 2×993033255560161² (a number of 31 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 993033255560096 and 993033255560105.

It is not a weakly prime, because it can be changed into another prime (993033255560111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 496516627780080 + 496516627780081.

It is an arithmetic number, because the mean of its divisors is an integer number (496516627780081).

Almost surely, 2^{993033255560161} is an apocalyptic number.

It is an amenable number.

993033255560161 is a deficient number, since it is larger than the sum of its proper divisors (1).

993033255560161 is an equidigital number, since it uses as much as digits as its factorization.

993033255560161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19683000, while the sum is 58.

The spelling of 993033255560161 in words is "nine hundred ninety-three trillion, thirty-three billion, two hundred fifty-five million, five hundred sixty thousand, one hundred sixty-one".