312357011 has 2 divisors, whose sum is σ = 312357012. Its totient is φ = 312357010.

The previous prime is 312356977. The next prime is 312357013. The reversal of 312357011 is 110753213.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 312357011 - 2¹⁰ = 312355987 is a prime.

It is a Sophie Germain prime.

Together with 312357013, 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 (312357013) 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, 156178505 + 156178506.

It is an arithmetic number, because the mean of its divisors is an integer number (156178506).

Almost surely, 2^312357011 is an apocalyptic number.

312357011 is a deficient number, since it is larger than the sum of its proper divisors (1).

312357011 is an equidigital number, since it uses as much as digits as its factorization.

312357011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 312357011 is about 17673.6247272595. The cubic root of 312357011 is about 678.5008865290.

The spelling of 312357011 in words is "three hundred twelve million, three hundred fifty-seven thousand, eleven".