2731577006313 has 24 divisors (see below), whose sum is σ = 3956169863880. Its totient is φ = 1816183998720.

The previous prime is 2731577006293. The next prime is 2731577006317. The reversal of 2731577006313 is 3136007751372.

2731577006313 is a `hidden beast` number, since 2 + 7 + 3 + 1 + 5 + 7 + 7 + 0 + 0 + 631 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 928779367824 + 1802797638489 = 963732^2 + 1342683^2 .

It is not a de Polignac number, because 2731577006313 - 2⁸ = 2731577006057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2731577006317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5353243 + ... + 5841263.

It is an arithmetic number, because the mean of its divisors is an integer number (164840410995).

Almost surely, 2^{2731577006313} is an apocalyptic number.

It is an amenable number.

2731577006313 is a deficient number, since it is larger than the sum of its proper divisors (1224592857567).

2731577006313 is a wasteful number, since it uses less digits than its factorization.

2731577006313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489689 (or 489686 counting only the distinct ones).

The product of its (nonzero) digits is 555660, while the sum is 45.

The spelling of 2731577006313 in words is "two trillion, seven hundred thirty-one billion, five hundred seventy-seven million, six thousand, three hundred thirteen".