2731577006293 has 2 divisors, whose sum is σ = 2731577006294. Its totient is φ = 2731577006292.

The previous prime is 2731577006243. The next prime is 2731577006317. The reversal of 2731577006293 is 3926007751372.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1505290971409 + 1226286034884 = 1226903^2 + 1107378^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2731577006293 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2731577006293.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2731577006233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1365788503146 + 1365788503147.

It is an arithmetic number, because the mean of its divisors is an integer number (1365788503147).

Almost surely, 2^{2731577006293} is an apocalyptic number.

It is an amenable number.

2731577006293 is a deficient number, since it is larger than the sum of its proper divisors (1).

2731577006293 is an equidigital number, since it uses as much as digits as its factorization.

2731577006293 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3333960, while the sum is 52.

The spelling of 2731577006293 in words is "two trillion, seven hundred thirty-one billion, five hundred seventy-seven million, six thousand, two hundred ninety-three".