2605167000001 has 2 divisors, whose sum is σ = 2605167000002. Its totient is φ = 2605167000000.

The previous prime is 2605166999969. The next prime is 2605167000019. The reversal of 2605167000001 is 1000007615062.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2187914305600 + 417252694401 = 1479160^2 + 645951^2 .

It is a cyclic number.

It is not a de Polignac number, because 2605167000001 - 2⁵ = 2605166999969 is a prime.

It is not a weakly prime, because it can be changed into another prime (2605167000031) 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, 1302583500000 + 1302583500001.

It is an arithmetic number, because the mean of its divisors is an integer number (1302583500001).

Almost surely, 2^{2605167000001} is an apocalyptic number.

It is an amenable number.

2605167000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2605167000001 is an equidigital number, since it uses as much as digits as its factorization.

2605167000001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 28.

The spelling of 2605167000001 in words is "two trillion, six hundred five billion, one hundred sixty-seven million, one", and thus it is an aban number.