1002830813 has 2 divisors, whose sum is σ = 1002830814. Its totient is φ = 1002830812.

The previous prime is 1002830791. The next prime is 1002830831. The reversal of 1002830813 is 3180382001.

Together with next prime (1002830831) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 678758809 + 324072004 = 26053^2 + 18002^2 .

It is an emirp because it is prime and its reverse (3180382001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1002830813 - 2¹⁴ = 1002814429 is a prime.

It is a super-3 number, since 3×1002830813³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1002830113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501415406 + 501415407.

It is an arithmetic number, because the mean of its divisors is an integer number (501415407).

Almost surely, 2^1002830813 is an apocalyptic number.

It is an amenable number.

1002830813 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002830813 is an equidigital number, since it uses as much as digits as its factorization.

1002830813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 1002830813 is about 31667.5040538404. The cubic root of 1002830813 is about 1000.9427153419.

The spelling of 1002830813 in words is "one billion, two million, eight hundred thirty thousand, eight hundred thirteen".