2735460000509 has 2 divisors, whose sum is σ = 2735460000510. Its totient is φ = 2735460000508.

The previous prime is 2735460000461. The next prime is 2735460000517. The reversal of 2735460000509 is 9050000645372.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1957262556484 + 778197444025 = 1399022^2 + 882155^2 .

It is a cyclic number.

It is not a de Polignac number, because 2735460000509 - 2⁸ = 2735460000253 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2735460000809) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1367730000254 + 1367730000255.

It is an arithmetic number, because the mean of its divisors is an integer number (1367730000255).

Almost surely, 2^{2735460000509} is an apocalyptic number.

It is an amenable number.

2735460000509 is a deficient number, since it is larger than the sum of its proper divisors (1).

2735460000509 is an equidigital number, since it uses as much as digits as its factorization.

2735460000509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 226800, while the sum is 41.

The spelling of 2735460000509 in words is "two trillion, seven hundred thirty-five billion, four hundred sixty million, five hundred nine", and thus it is an aban number.