312545213 has 2 divisors, whose sum is σ = 312545214. Its totient is φ = 312545212.

The previous prime is 312545201. The next prime is 312545237.

It is a happy number.

312545213 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 184470724 + 128074489 = 13582^2 + 11317^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 312545213 - 2¹⁴ = 312528829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312505213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156272606 + 156272607.

It is an arithmetic number, because the mean of its divisors is an integer number (156272607).

Almost surely, 2^312545213 is an apocalyptic number.

It is an amenable number.

312545213 is a deficient number, since it is larger than the sum of its proper divisors (1).

312545213 is an equidigital number, since it uses as much as digits as its factorization.

312545213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3600, while the sum is 26.

The square root of 312545213 is about 17678.9483001676. The cubic root of 312545213 is about 678.6371297608.

The spelling of 312545213 in words is "three hundred twelve million, five hundred forty-five thousand, two hundred thirteen".