2731497308261 has 2 divisors, whose sum is σ = 2731497308262. Its totient is φ = 2731497308260.

The previous prime is 2731497308251. The next prime is 2731497308279. The reversal of 2731497308261 is 1628037941372.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2189645265025 + 541852043236 = 1479745^2 + 736106^2 .

It is a cyclic number.

It is not a de Polignac number, because 2731497308261 - 2²² = 2731493113957 is a prime.

It is a super-2 number, since 2×2731497308261² (a number of 26 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2731497308251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1365748654130 + 1365748654131.

It is an arithmetic number, because the mean of its divisors is an integer number (1365748654131).

Almost surely, 2^{2731497308261} is an apocalyptic number.

It is an amenable number.

2731497308261 is a deficient number, since it is larger than the sum of its proper divisors (1).

2731497308261 is an equidigital number, since it uses as much as digits as its factorization.

2731497308261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3048192, while the sum is 53.

The spelling of 2731497308261 in words is "two trillion, seven hundred thirty-one billion, four hundred ninety-seven million, three hundred eight thousand, two hundred sixty-one".