2680749410513 has 2 divisors, whose sum is σ = 2680749410514. Its totient is φ = 2680749410512.

The previous prime is 2680749410509. The next prime is 2680749410519. The reversal of 2680749410513 is 3150149470862.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2678351545489 + 2397865024 = 1636567^2 + 48968^2 .

It is a cyclic number.

It is not a de Polignac number, because 2680749410513 - 2² = 2680749410509 is a prime.

It is not a weakly prime, because it can be changed into another prime (2680749410519) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1340374705256 + 1340374705257.

It is an arithmetic number, because the mean of its divisors is an integer number (1340374705257).

It is a 1-persistent number, because it is pandigital, but 2⋅2680749410513 = 5361498821026 is not.

Almost surely, 2^{2680749410513} is an apocalyptic number.

It is an amenable number.

2680749410513 is a deficient number, since it is larger than the sum of its proper divisors (1).

2680749410513 is an equidigital number, since it uses as much as digits as its factorization.

2680749410513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1451520, while the sum is 50.

The spelling of 2680749410513 in words is "two trillion, six hundred eighty billion, seven hundred forty-nine million, four hundred ten thousand, five hundred thirteen".