2705365005319 has 2 divisors, whose sum is σ = 2705365005320. Its totient is φ = 2705365005318.

The previous prime is 2705365005193. The next prime is 2705365005361. The reversal of 2705365005319 is 9135005635072.

2705365005319 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

Together with previous prime (2705365005193) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2705365005319 is a prime.

It is a super-2 number, since 2×2705365005319² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2705365005619) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1352682502659 + 1352682502660.

It is an arithmetic number, because the mean of its divisors is an integer number (1352682502660).

Almost surely, 2^{2705365005319} is an apocalyptic number.

2705365005319 is a deficient number, since it is larger than the sum of its proper divisors (1).

2705365005319 is an equidigital number, since it uses as much as digits as its factorization.

2705365005319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 850500, while the sum is 46.

The spelling of 2705365005319 in words is "two trillion, seven hundred five billion, three hundred sixty-five million, five thousand, three hundred nineteen".