2513777640113 has 2 divisors, whose sum is σ = 2513777640114. Its totient is φ = 2513777640112.

The previous prime is 2513777640097. The next prime is 2513777640131. The reversal of 2513777640113 is 3110467773152.

Together with next prime (2513777640131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2424037252624 + 89740387489 = 1556932^2 + 299567^2 .

It is a cyclic number.

It is not a de Polignac number, because 2513777640113 - 2⁴ = 2513777640097 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2513773640113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1256888820056 + 1256888820057.

It is an arithmetic number, because the mean of its divisors is an integer number (1256888820057).

Almost surely, 2^{2513777640113} is an apocalyptic number.

It is an amenable number.

2513777640113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2513777640113 is an equidigital number, since it uses as much as digits as its factorization.

2513777640113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 740880, while the sum is 47.

The spelling of 2513777640113 in words is "two trillion, five hundred thirteen billion, seven hundred seventy-seven million, six hundred forty thousand, one hundred thirteen".