2667167281201 has 2 divisors, whose sum is σ = 2667167281202. Its totient is φ = 2667167281200.

The previous prime is 2667167281193. The next prime is 2667167281241. The reversal of 2667167281201 is 1021827617662.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2430951840801 + 236215440400 = 1559151^2 + 486020^2 .

It is a cyclic number.

It is not a de Polignac number, because 2667167281201 - 2³ = 2667167281193 is a prime.

It is a super-2 number, since 2×2667167281201² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2667167281241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1333583640600 + 1333583640601.

It is an arithmetic number, because the mean of its divisors is an integer number (1333583640601).

Almost surely, 2^{2667167281201} is an apocalyptic number.

It is an amenable number.

2667167281201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2667167281201 is an equidigital number, since it uses as much as digits as its factorization.

2667167281201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 677376, while the sum is 49.

The spelling of 2667167281201 in words is "two trillion, six hundred sixty-seven billion, one hundred sixty-seven million, two hundred eighty-one thousand, two hundred one".