1023808033 has 2 divisors, whose sum is σ = 1023808034. Its totient is φ = 1023808032.

The previous prime is 1023807979. The next prime is 1023808057. The reversal of 1023808033 is 3308083201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 903423249 + 120384784 = 30057^2 + 10972^2 .

It is an emirp because it is prime and its reverse (3308083201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1023808033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1023807992 and 1023808010.

It is not a weakly prime, because it can be changed into another prime (1023808433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511904016 + 511904017.

It is an arithmetic number, because the mean of its divisors is an integer number (511904017).

Almost surely, 2^1023808033 is an apocalyptic number.

It is an amenable number.

1023808033 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023808033 is an equidigital number, since it uses as much as digits as its factorization.

1023808033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 1023808033 is about 31997.0003750352. Note that the first 3 decimals coincide. The cubic root of 1023808033 is about 1007.8738507545.

The spelling of 1023808033 in words is "one billion, twenty-three million, eight hundred eight thousand, thirty-three".