2681607328753 has 2 divisors, whose sum is σ = 2681607328754. Its totient is φ = 2681607328752.

The previous prime is 2681607328721. The next prime is 2681607328837. The reversal of 2681607328753 is 3578237061862.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1738750792689 + 942856536064 = 1318617^2 + 971008^2 .

It is a cyclic number.

It is not a de Polignac number, because 2681607328753 - 2⁵ = 2681607328721 is a prime.

It is not a weakly prime, because it can be changed into another prime (2681607328703) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1340803664376 + 1340803664377.

It is an arithmetic number, because the mean of its divisors is an integer number (1340803664377).

Almost surely, 2^{2681607328753} is an apocalyptic number.

It is an amenable number.

2681607328753 is a deficient number, since it is larger than the sum of its proper divisors (1).

2681607328753 is an equidigital number, since it uses as much as digits as its factorization.

2681607328753 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20321280, while the sum is 58.

The spelling of 2681607328753 in words is "two trillion, six hundred eighty-one billion, six hundred seven million, three hundred twenty-eight thousand, seven hundred fifty-three".