782706013 has 2 divisors, whose sum is σ = 782706014. Its totient is φ = 782706012.

The previous prime is 782705983. The next prime is 782706047. The reversal of 782706013 is 310607287.

It is an a-pointer prime, because the next prime (782706047) can be obtained adding 782706013 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 394340164 + 388365849 = 19858^2 + 19707^2 .

It is a cyclic number.

It is not a de Polignac number, because 782706013 - 2⁵ = 782705981 is a prime.

It is a super-2 number, since 2×782706013² = 1225257405572712338, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 782706013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (782706313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 391353006 + 391353007.

It is an arithmetic number, because the mean of its divisors is an integer number (391353007).

Almost surely, 2^782706013 is an apocalyptic number.

It is an amenable number.

782706013 is a deficient number, since it is larger than the sum of its proper divisors (1).

782706013 is an equidigital number, since it uses as much as digits as its factorization.

782706013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 782706013 is about 27976.8835469571. The cubic root of 782706013 is about 921.5796793441.

The spelling of 782706013 in words is "seven hundred eighty-two million, seven hundred six thousand, thirteen".