2684177136013 has 2 divisors, whose sum is σ = 2684177136014. Its totient is φ = 2684177136012.

The previous prime is 2684177136001. The next prime is 2684177136029. The reversal of 2684177136013 is 3106317714862.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1964263916484 + 719913219529 = 1401522^2 + 848477^2 .

It is a cyclic number.

It is not a de Polignac number, because 2684177136013 - 2³³ = 2675587201421 is a prime.

It is a super-2 number, since 2×2684177136013² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2684177136313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1342088568006 + 1342088568007.

It is an arithmetic number, because the mean of its divisors is an integer number (1342088568007).

Almost surely, 2^{2684177136013} is an apocalyptic number.

It is an amenable number.

2684177136013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2684177136013 is an equidigital number, since it uses as much as digits as its factorization.

2684177136013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1016064, while the sum is 49.

The spelling of 2684177136013 in words is "two trillion, six hundred eighty-four billion, one hundred seventy-seven million, one hundred thirty-six thousand, thirteen".