1006165166053 has 2 divisors, whose sum is σ = 1006165166054. Its totient is φ = 1006165166052.

The previous prime is 1006165166051. The next prime is 1006165166089. The reversal of 1006165166053 is 3506615616001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 992269000129 + 13896165924 = 996127^2 + 117882^2 .

It is an emirp because it is prime and its reverse (3506615616001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1006165166053 - 2¹ = 1006165166051 is a prime.

It is a super-2 number, since 2×1006165166053² (a number of 25 digits) contains 22 as substring.

Together with 1006165166051, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1006165165997 and 1006165166015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006165166051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503082583026 + 503082583027.

It is an arithmetic number, because the mean of its divisors is an integer number (503082583027).

Almost surely, 2^{1006165166053} is an apocalyptic number.

It is an amenable number.

1006165166053 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006165166053 is an equidigital number, since it uses as much as digits as its factorization.

1006165166053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 97200, while the sum is 40.

The spelling of 1006165166053 in words is "one trillion, six billion, one hundred sixty-five million, one hundred sixty-six thousand, fifty-three".