80824013 has 2 divisors, whose sum is σ = 80824014. Its totient is φ = 80824012.

The previous prime is 80823991. The next prime is 80824019. The reversal of 80824013 is 31042808.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48413764 + 32410249 = 6958^2 + 5693^2 .

It is a cyclic number.

It is not a de Polignac number, because 80824013 - 2⁶ = 80823949 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is equal to p_4714703 and since 80824013 and 4714703 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (80824019) 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, 40412006 + 40412007.

It is an arithmetic number, because the mean of its divisors is an integer number (40412007).

Almost surely, 2^80824013 is an apocalyptic number.

It is an amenable number.

80824013 is a deficient number, since it is larger than the sum of its proper divisors (1).

80824013 is an equidigital number, since it uses as much as digits as its factorization.

80824013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 80824013 is about 8990.2176280666. The cubic root of 80824013 is about 432.3612893411.

The spelling of 80824013 in words is "eighty million, eight hundred twenty-four thousand, thirteen".