2731713536441 has 2 divisors, whose sum is σ = 2731713536442. Its totient is φ = 2731713536440.

The previous prime is 2731713536417. The next prime is 2731713536443. The reversal of 2731713536441 is 1446353171372.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2713337022841 + 18376513600 = 1647221^2 + 135560^2 .

It is a cyclic number.

It is not a de Polignac number, because 2731713536441 - 2²² = 2731709342137 is a prime.

Together with 2731713536443, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2731713536443) 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, 1365856768220 + 1365856768221.

It is an arithmetic number, because the mean of its divisors is an integer number (1365856768221).

Almost surely, 2^{2731713536441} is an apocalyptic number.

It is an amenable number.

2731713536441 is a deficient number, since it is larger than the sum of its proper divisors (1).

2731713536441 is an equidigital number, since it uses as much as digits as its factorization.

2731713536441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1270080, while the sum is 47.

The spelling of 2731713536441 in words is "two trillion, seven hundred thirty-one billion, seven hundred thirteen million, five hundred thirty-six thousand, four hundred forty-one".