165005165505049 has 2 divisors, whose sum is σ = 165005165505050. Its totient is φ = 165005165505048.

The previous prime is 165005165505031. The next prime is 165005165505199. The reversal of 165005165505049 is 940505561500561.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 139214206394649 + 25790959110400 = 11798907^2 + 5078480^2 .

It is a cyclic number.

It is not a de Polignac number, because 165005165505049 - 2²³ = 165005157116441 is a prime.

It is a super-2 number, since 2×165005165505049² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 165005165504987 and 165005165505005.

It is not a weakly prime, because it can be changed into another prime (165005165503049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82502582752524 + 82502582752525.

It is an arithmetic number, because the mean of its divisors is an integer number (82502582752525).

Almost surely, 2^{165005165505049} is an apocalyptic number.

It is an amenable number.

165005165505049 is a deficient number, since it is larger than the sum of its proper divisors (1).

165005165505049 is an equidigital number, since it uses as much as digits as its factorization.

165005165505049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4050000, while the sum is 52.

The spelling of 165005165505049 in words is "one hundred sixty-five trillion, five billion, one hundred sixty-five million, five hundred five thousand, forty-nine".