823388013 has 36 divisors (see below), whose sum is σ = 1464912540. Its totient is φ = 442826496.

The previous prime is 823387997. The next prime is 823388053. The reversal of 823388013 is 310883328.

It can be written as a sum of positive squares in 2 ways, for example, as 483428169 + 339959844 = 21987^2 + 18438^2 .

It is not a de Polignac number, because 823388013 - 2⁴ = 823387997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823388053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47418 + ... + 62411.

It is an arithmetic number, because the mean of its divisors is an integer number (40692015).

Almost surely, 2^823388013 is an apocalyptic number.

It is an amenable number.

823388013 is a deficient number, since it is larger than the sum of its proper divisors (641524527).

823388013 is a wasteful number, since it uses less digits than its factorization.

823388013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109866 (or 109856 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 823388013 is about 28694.7384201355. The cubic root of 823388013 is about 937.2774750790.

The spelling of 823388013 in words is "eight hundred twenty-three million, three hundred eighty-eight thousand, thirteen".