2731635646081 has 2 divisors, whose sum is σ = 2731635646082. Its totient is φ = 2731635646080.

The previous prime is 2731635646057. The next prime is 2731635646111. The reversal of 2731635646081 is 1806465361372.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1455207942400 + 1276427703681 = 1206320^2 + 1129791^2 .

It is a cyclic number.

It is not a de Polignac number, because 2731635646081 - 2⁵ = 2731635646049 is a prime.

It is a super-2 number, since 2×2731635646081² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2731635640081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1365817823040 + 1365817823041.

It is an arithmetic number, because the mean of its divisors is an integer number (1365817823041).

Almost surely, 2^{2731635646081} is an apocalyptic number.

It is an amenable number.

2731635646081 is a deficient number, since it is larger than the sum of its proper divisors (1).

2731635646081 is an equidigital number, since it uses as much as digits as its factorization.

2731635646081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4354560, while the sum is 52.

The spelling of 2731635646081 in words is "two trillion, seven hundred thirty-one billion, six hundred thirty-five million, six hundred forty-six thousand, eighty-one".