311431304392249 has 2 divisors, whose sum is σ = 311431304392250. Its totient is φ = 311431304392248.

The previous prime is 311431304392231. The next prime is 311431304392267. The reversal of 311431304392249 is 942293403134113.

It is a balanced prime because it is at equal distance from previous prime (311431304392231) and next prime (311431304392267).

It can be written as a sum of positive squares in only one way, i.e., 163174258465024 + 148257045927225 = 12773968^2 + 12176085^2 .

It is a cyclic number.

It is not a de Polignac number, because 311431304392249 - 2¹¹ = 311431304390201 is a prime.

It is not a weakly prime, because it can be changed into another prime (311431304392279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155715652196124 + 155715652196125.

It is an arithmetic number, because the mean of its divisors is an integer number (155715652196125).

Almost surely, 2^{311431304392249} is an apocalyptic number.

It is an amenable number.

311431304392249 is a deficient number, since it is larger than the sum of its proper divisors (1).

311431304392249 is an equidigital number, since it uses as much as digits as its factorization.

311431304392249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1679616, while the sum is 49.

The spelling of 311431304392249 in words is "three hundred eleven trillion, four hundred thirty-one billion, three hundred four million, three hundred ninety-two thousand, two hundred forty-nine".