2605167000081 has 12 divisors (see below), whose sum is σ = 3763035707652. Its totient is φ = 1736770288896.

The previous prime is 2605167000047. The next prime is 2605167000091. The reversal of 2605167000081 is 1800007615062.

2605167000081 is a `hidden beast` number, since 2 + 60 + 516 + 7 + 0 + 0 + 0 + 0 + 81 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1467104760081 + 1138062240000 = 1211241^2 + 1066800^2 .

It is not a de Polignac number, because 2605167000081 - 2¹¹ = 2605166998033 is a prime.

It is a super-2 number, since 2×2605167000081² (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2605167000001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2123965 + ... + 3117941.

It is an arithmetic number, because the mean of its divisors is an integer number (313586308971).

Almost surely, 2^{2605167000081} is an apocalyptic number.

It is an amenable number.

2605167000081 is a deficient number, since it is larger than the sum of its proper divisors (1157868707571).

2605167000081 is a wasteful number, since it uses less digits than its factorization.

2605167000081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285200 (or 1285197 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 2605167000081 in words is "two trillion, six hundred five billion, one hundred sixty-seven million, eighty-one", and thus it is an aban number.