1781587782713 has 2 divisors, whose sum is σ = 1781587782714. Its totient is φ = 1781587782712.

The previous prime is 1781587782613. The next prime is 1781587782757. The reversal of 1781587782713 is 3172877851871.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1739465556544 + 42122226169 = 1318888^2 + 205237^2 .

It is a cyclic number.

It is not a de Polignac number, because 1781587782713 - 2¹⁸ = 1781587520569 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1781587782713.

It is not a weakly prime, because it can be changed into another prime (1781587782613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 890793891356 + 890793891357.

It is an arithmetic number, because the mean of its divisors is an integer number (890793891357).

Almost surely, 2^{1781587782713} is an apocalyptic number.

It is an amenable number.

1781587782713 is a deficient number, since it is larger than the sum of its proper divisors (1).

1781587782713 is an equidigital number, since it uses as much as digits as its factorization.

1781587782713 is an evil number, because the sum of its binary digits is even.

The product of its digits is 36879360, while the sum is 65.

The spelling of 1781587782713 in words is "one trillion, seven hundred eighty-one billion, five hundred eighty-seven million, seven hundred eighty-two thousand, seven hundred thirteen".