967738484837513 has 2 divisors, whose sum is σ = 967738484837514. Its totient is φ = 967738484837512.

The previous prime is 967738484837447. The next prime is 967738484837521. The reversal of 967738484837513 is 315738484837769.

967738484837513 is digitally balanced in base 2, 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., 966307812882064 + 1430671955449 = 31085492^2 + 1196107^2 .

It is a cyclic number.

It is not a de Polignac number, because 967738484837513 - 2¹⁰ = 967738484836489 is a prime.

It is not a weakly prime, because it can be changed into another prime (967738484837213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 483869242418756 + 483869242418757.

It is an arithmetic number, because the mean of its divisors is an integer number (483869242418757).

Almost surely, 2^{967738484837513} is an apocalyptic number.

It is an amenable number.

967738484837513 is a deficient number, since it is larger than the sum of its proper divisors (1).

967738484837513 is an equidigital number, since it uses as much as digits as its factorization.

967738484837513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20483850240, while the sum is 83.

The spelling of 967738484837513 in words is "nine hundred sixty-seven trillion, seven hundred thirty-eight billion, four hundred eighty-four million, eight hundred thirty-seven thousand, five hundred thirteen".