7785344513 has 2 divisors, whose sum is σ = 7785344514. Its totient is φ = 7785344512.

The previous prime is 7785344477. The next prime is 7785344521. The reversal of 7785344513 is 3154435877.

It is a happy number.

7785344513 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4668578929 + 3116765584 = 68327^2 + 55828^2 .

It is a cyclic number.

It is not a de Polignac number, because 7785344513 - 2¹⁴ = 7785328129 is a prime.

It is a super-2 number, since 2×7785344513² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (7785344113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3892672256 + 3892672257.

It is an arithmetic number, because the mean of its divisors is an integer number (3892672257).

Almost surely, 2^7785344513 is an apocalyptic number.

It is an amenable number.

7785344513 is a deficient number, since it is larger than the sum of its proper divisors (1).

7785344513 is an equidigital number, since it uses as much as digits as its factorization.

7785344513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1411200, while the sum is 47.

The square root of 7785344513 is about 88234.5992964211. The cubic root of 7785344513 is about 1981.9496248197.

The spelling of 7785344513 in words is "seven billion, seven hundred eighty-five million, three hundred forty-four thousand, five hundred thirteen".