312505213 has 2 divisors, whose sum is σ = 312505214. Its totient is φ = 312505212.

The previous prime is 312505201. The next prime is 312505253.

312505213 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., 183954969 + 128550244 = 13563^2 + 11338^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 312505213 - 2¹⁷ = 312374141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312505253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156252606 + 156252607.

It is an arithmetic number, because the mean of its divisors is an integer number (156252607).

Almost surely, 2^312505213 is an apocalyptic number.

It is an amenable number.

312505213 is a deficient number, since it is larger than the sum of its proper divisors (1).

312505213 is an equidigital number, since it uses as much as digits as its factorization.

312505213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 312505213 is about 17677.8169749548. The cubic root of 312505213 is about 678.6081775302.

It can be divided in two parts, 31250 and 5213, that added together give a palindrome (36463).

The spelling of 312505213 in words is "three hundred twelve million, five hundred five thousand, two hundred thirteen".