312253252513 has 2 divisors, whose sum is σ = 312253252514. Its totient is φ = 312253252512.

The previous prime is 312253252501. The next prime is 312253252517. The reversal of 312253252513 is 315252352213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 307239621264 + 5013631249 = 554292^2 + 70807^2 .

It is a cyclic number.

It is not a de Polignac number, because 312253252513 - 2¹³ = 312253244321 is a prime.

It is not a weakly prime, because it can be changed into another prime (312253252517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156126626256 + 156126626257.

It is an arithmetic number, because the mean of its divisors is an integer number (156126626257).

Almost surely, 2^312253252513 is an apocalyptic number.

It is an amenable number.

312253252513 is a deficient number, since it is larger than the sum of its proper divisors (1).

312253252513 is an equidigital number, since it uses as much as digits as its factorization.

312253252513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 54000, while the sum is 34.

The spelling of 312253252513 in words is "three hundred twelve billion, two hundred fifty-three million, two hundred fifty-two thousand, five hundred thirteen".