84312420514253 has 2 divisors, whose sum is σ = 84312420514254. Its totient is φ = 84312420514252.

The previous prime is 84312420514243. The next prime is 84312420514271. The reversal of 84312420514253 is 35241502421348.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76710919359529 + 7601501154724 = 8758477^2 + 2757082^2 .

It is a cyclic number.

It is not a de Polignac number, because 84312420514253 - 2¹⁶ = 84312420448717 is a prime.

It is a super-2 number, since 2×84312420514253² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (84312420514243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42156210257126 + 42156210257127.

It is an arithmetic number, because the mean of its divisors is an integer number (42156210257127).

Almost surely, 2^{84312420514253} is an apocalyptic number.

It is an amenable number.

84312420514253 is a deficient number, since it is larger than the sum of its proper divisors (1).

84312420514253 is an equidigital number, since it uses as much as digits as its factorization.

84312420514253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 921600, while the sum is 44.

The spelling of 84312420514253 in words is "eighty-four trillion, three hundred twelve billion, four hundred twenty million, five hundred fourteen thousand, two hundred fifty-three".