2735458565089 has 2 divisors, whose sum is σ = 2735458565090. Its totient is φ = 2735458565088.

The previous prime is 2735458565051. The next prime is 2735458565107. The reversal of 2735458565089 is 9805658545372.

2735458565089 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1738640030625 + 996818534464 = 1318575^2 + 998408^2 .

It is a cyclic number.

It is not a de Polignac number, because 2735458565089 - 2⁹ = 2735458564577 is a prime.

It is a super-2 number, since 2×2735458565089² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2735458565029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1367729282544 + 1367729282545.

It is an arithmetic number, because the mean of its divisors is an integer number (1367729282545).

Almost surely, 2^{2735458565089} is an apocalyptic number.

It is an amenable number.

2735458565089 is a deficient number, since it is larger than the sum of its proper divisors (1).

2735458565089 is an equidigital number, since it uses as much as digits as its factorization.

2735458565089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 362880000, while the sum is 67.

The spelling of 2735458565089 in words is "two trillion, seven hundred thirty-five billion, four hundred fifty-eight million, five hundred sixty-five thousand, eighty-nine".