312153120449 has 2 divisors, whose sum is σ = 312153120450. Its totient is φ = 312153120448.

The previous prime is 312153120431. The next prime is 312153120491. The reversal of 312153120449 is 944021351213.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 294449487424 + 17703633025 = 542632^2 + 133055^2 .

It is an emirp because it is prime and its reverse (944021351213) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312153120449 is a prime.

It is not a weakly prime, because it can be changed into another prime (312153120049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156076560224 + 156076560225.

It is an arithmetic number, because the mean of its divisors is an integer number (156076560225).

Almost surely, 2^312153120449 is an apocalyptic number.

It is an amenable number.

312153120449 is a deficient number, since it is larger than the sum of its proper divisors (1).

312153120449 is an equidigital number, since it uses as much as digits as its factorization.

312153120449 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 312153120449 in words is "three hundred twelve billion, one hundred fifty-three million, one hundred twenty thousand, four hundred forty-nine".