2731563342257 has 2 divisors, whose sum is σ = 2731563342258. Its totient is φ = 2731563342256.

The previous prime is 2731563342199. The next prime is 2731563342329. The reversal of 2731563342257 is 7522433651372.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2094593347441 + 636969994816 = 1447271^2 + 798104^2 .

It is a cyclic number.

It is not a de Polignac number, because 2731563342257 - 2¹⁰ = 2731563341233 is a prime.

It is a super-2 number, since 2×2731563342257² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2731563342457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1365781671128 + 1365781671129.

It is an arithmetic number, because the mean of its divisors is an integer number (1365781671129).

Almost surely, 2^{2731563342257} is an apocalyptic number.

It is an amenable number.

2731563342257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2731563342257 is an equidigital number, since it uses as much as digits as its factorization.

2731563342257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6350400, while the sum is 50.

The spelling of 2731563342257 in words is "two trillion, seven hundred thirty-one billion, five hundred sixty-three million, three hundred forty-two thousand, two hundred fifty-seven".