312505253 has 2 divisors, whose sum is σ = 312505254. Its totient is φ = 312505252.

The previous prime is 312505213. The next prime is 312505267. The reversal of 312505253 is 352505213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 310922689 + 1582564 = 17633^2 + 1258^2 .

It is an emirp because it is prime and its reverse (352505213) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312505253 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 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, 156252626 + 156252627.

It is an arithmetic number, because the mean of its divisors is an integer number (156252627).

Almost surely, 2^312505253 is an apocalyptic number.

It is an amenable number.

312505253 is a deficient number, since it is larger than the sum of its proper divisors (1).

312505253 is an equidigital number, since it uses as much as digits as its factorization.

312505253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4500, while the sum is 26.

The square root of 312505253 is about 17677.8181063162. The cubic root of 312505253 is about 678.6082064836.

The spelling of 312505253 in words is "three hundred twelve million, five hundred five thousand, two hundred fifty-three".