312523031349 has 10 divisors (see below), whose sum is σ = 466855392630. Its totient is φ = 208348687512.

The previous prime is 312523031323. The next prime is 312523031351. The reversal of 312523031349 is 943130325213.

312523031349 is a `hidden beast` number, since 3 + 1 + 2 + 5 + 2 + 303 + 1 + 349 = 666.

It can be written as a sum of positive squares in only one way, i.e., 301104612900 + 11418418449 = 548730^2 + 106857^2 .

It is not a de Polignac number, because 312523031349 - 2¹² = 312523027253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312523031399) 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 in 9 ways as a sum of consecutive naturals, for example, 1929154434 + ... + 1929154595.

It is an arithmetic number, because the mean of its divisors is an integer number (46685539263).

Almost surely, 2^312523031349 is an apocalyptic number.

It is an amenable number.

312523031349 is a deficient number, since it is larger than the sum of its proper divisors (154332361281).

312523031349 is an equidigital number, since it uses as much as digits as its factorization.

312523031349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3858309041 (or 3858309032 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 312523031349 in words is "three hundred twelve billion, five hundred twenty-three million, thirty-one thousand, three hundred forty-nine".