77938122313 has 2 divisors, whose sum is σ = 77938122314. Its totient is φ = 77938122312.

The previous prime is 77938122217. The next prime is 77938122329. The reversal of 77938122313 is 31322183977.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52419018304 + 25519104009 = 228952^2 + 159747^2 .

It is a cyclic number.

It is not a de Polignac number, because 77938122313 - 2⁹ = 77938121801 is a prime.

It is a super-2 number, since 2×77938122313² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (77938122373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38969061156 + 38969061157.

It is an arithmetic number, because the mean of its divisors is an integer number (38969061157).

Almost surely, 2^77938122313 is an apocalyptic number.

It is an amenable number.

77938122313 is a deficient number, since it is larger than the sum of its proper divisors (1).

77938122313 is an equidigital number, since it uses as much as digits as its factorization.

77938122313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 381024, while the sum is 46.

The spelling of 77938122313 in words is "seventy-seven billion, nine hundred thirty-eight million, one hundred twenty-two thousand, three hundred thirteen".