10067312873 has 2 divisors, whose sum is σ = 10067312874. Its totient is φ = 10067312872.

The previous prime is 10067312861. The next prime is 10067312903. The reversal of 10067312873 is 37821376001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10065707584 + 1605289 = 100328^2 + 1267^2 .

It is an emirp because it is prime and its reverse (37821376001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10067312873 - 2²⁰ = 10066264297 is a prime.

It is not a weakly prime, because it can be changed into another prime (10067318873) 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, 5033656436 + 5033656437.

It is an arithmetic number, because the mean of its divisors is an integer number (5033656437).

Almost surely, 2^10067312873 is an apocalyptic number.

It is an amenable number.

10067312873 is a deficient number, since it is larger than the sum of its proper divisors (1).

10067312873 is an equidigital number, since it uses as much as digits as its factorization.

10067312873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42336, while the sum is 38.

Adding to 10067312873 its reverse (37821376001), we get a palindrome (47888688874).

The spelling of 10067312873 in words is "ten billion, sixty-seven million, three hundred twelve thousand, eight hundred seventy-three".