77205381131 has 2 divisors, whose sum is σ = 77205381132. Its totient is φ = 77205381130.

The previous prime is 77205381091. The next prime is 77205381133. The reversal of 77205381131 is 13118350277.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 77205381131 - 2¹⁰ = 77205380107 is a prime.

It is a super-2 number, since 2×77205381131² (a number of 23 digits) contains 22 as substring.

Together with 77205381133, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (77205381133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38602690565 + 38602690566.

It is an arithmetic number, because the mean of its divisors is an integer number (38602690566).

Almost surely, 2^77205381131 is an apocalyptic number.

77205381131 is a deficient number, since it is larger than the sum of its proper divisors (1).

77205381131 is an equidigital number, since it uses as much as digits as its factorization.

77205381131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35280, while the sum is 38.

The spelling of 77205381131 in words is "seventy-seven billion, two hundred five million, three hundred eighty-one thousand, one hundred thirty-one".