772013067361 has 2 divisors, whose sum is σ = 772013067362. Its totient is φ = 772013067360.

The previous prime is 772013067359. The next prime is 772013067367. The reversal of 772013067361 is 163760310277.

772013067361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 762969057361 + 9044010000 = 873481^2 + 95100^2 .

It is a cyclic number.

It is not a de Polignac number, because 772013067361 - 2¹ = 772013067359 is a prime.

It is a super-2 number, since 2×772013067361² (a number of 25 digits) contains 22 as substring.

Together with 772013067359, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (772013067367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 386006533680 + 386006533681.

It is an arithmetic number, because the mean of its divisors is an integer number (386006533681).

Almost surely, 2^772013067361 is an apocalyptic number.

It is an amenable number.

772013067361 is a deficient number, since it is larger than the sum of its proper divisors (1).

772013067361 is an equidigital number, since it uses as much as digits as its factorization.

772013067361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 222264, while the sum is 43.

The spelling of 772013067361 in words is "seven hundred seventy-two billion, thirteen million, sixty-seven thousand, three hundred sixty-one".