782105776513 has 2 divisors, whose sum is σ = 782105776514. Its totient is φ = 782105776512.

The previous prime is 782105776511. The next prime is 782105776531. The reversal of 782105776513 is 315677501287.

Together with next prime (782105776531) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 718100318464 + 64005458049 = 847408^2 + 252993^2 .

It is a cyclic number.

It is not a de Polignac number, because 782105776513 - 2¹ = 782105776511 is a prime.

It is a super-2 number, since 2×782105776513² (a number of 25 digits) contains 22 as substring.

Together with 782105776511, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (782105776511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 391052888256 + 391052888257.

It is an arithmetic number, because the mean of its divisors is an integer number (391052888257).

Almost surely, 2^782105776513 is an apocalyptic number.

It is an amenable number.

782105776513 is a deficient number, since it is larger than the sum of its proper divisors (1).

782105776513 is an equidigital number, since it uses as much as digits as its factorization.

782105776513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2469600, while the sum is 52.

The spelling of 782105776513 in words is "seven hundred eighty-two billion, one hundred five million, seven hundred seventy-six thousand, five hundred thirteen".