312351301 has 2 divisors, whose sum is σ = 312351302. Its totient is φ = 312351300.

The previous prime is 312351271. The next prime is 312351329. The reversal of 312351301 is 103153213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 247307076 + 65044225 = 15726^2 + 8065^2 .

It is a cyclic number.

It is not a de Polignac number, because 312351301 - 2⁷ = 312351173 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312351001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156175650 + 156175651.

It is an arithmetic number, because the mean of its divisors is an integer number (156175651).

Almost surely, 2^312351301 is an apocalyptic number.

It is an amenable number.

312351301 is a deficient number, since it is larger than the sum of its proper divisors (1).

312351301 is an equidigital number, since it uses as much as digits as its factorization.

312351301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 312351301 is about 17673.4631863707. The cubic root of 312351301 is about 678.4967520893.

The spelling of 312351301 in words is "three hundred twelve million, three hundred fifty-one thousand, three hundred one".