777013 has 2 divisors, whose sum is σ = 777014. Its totient is φ = 777012.

The previous prime is 777011. The next prime is 777031. The reversal of 777013 is 310777.

Together with next prime (777031) 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., 762129 + 14884 = 873^2 + 122^2 .

It is a cyclic number.

It is not a de Polignac number, because 777013 - 2¹ = 777011 is a prime.

Together with 777011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (777011) 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, 388506 + 388507.

It is an arithmetic number, because the mean of its divisors is an integer number (388507).

2⁷⁷⁷⁰¹³ is an apocalyptic number.

It is an amenable number.

777013 is a deficient number, since it is larger than the sum of its proper divisors (1).

777013 is an equidigital number, since it uses as much as digits as its factorization.

777013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1029, while the sum is 25.

The square root of 777013 is about 881.4834088059. The cubic root of 777013 is about 91.9339869864.

The spelling of 777013 in words is "seven hundred seventy-seven thousand, thirteen".