66823258013 has 2 divisors, whose sum is σ = 66823258014. Its totient is φ = 66823258012.

The previous prime is 66823257983. The next prime is 66823258043. The reversal of 66823258013 is 31085232866.

It is a balanced prime because it is at equal distance from previous prime (66823257983) and next prime (66823258043).

It can be written as a sum of positive squares in only one way, i.e., 44090760484 + 22732497529 = 209978^2 + 150773^2 .

It is a cyclic number.

It is not a de Polignac number, because 66823258013 - 2³² = 62528290717 is a prime.

It is a super-2 number, since 2×66823258013² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66823258043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33411629006 + 33411629007.

It is an arithmetic number, because the mean of its divisors is an integer number (33411629007).

Almost surely, 2^66823258013 is an apocalyptic number.

It is an amenable number.

66823258013 is a deficient number, since it is larger than the sum of its proper divisors (1).

66823258013 is an equidigital number, since it uses as much as digits as its factorization.

66823258013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 414720, while the sum is 44.

The spelling of 66823258013 in words is "sixty-six billion, eight hundred twenty-three million, two hundred fifty-eight thousand, thirteen".