813102993 has 6 divisors (see below), whose sum is σ = 1174482114. Its totient is φ = 542068656.

The previous prime is 813102991. The next prime is 813103001. The reversal of 813102993 is 399201318.

It can be written as a sum of positive squares in only one way, i.e., 549105489 + 263997504 = 23433^2 + 16248^2 .

It is not a de Polignac number, because 813102993 - 2¹ = 813102991 is a prime.

It is a super-2 number, since 2×813102993² = 1322272954451116098, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (813102991) 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 5 ways as a sum of consecutive naturals, for example, 45172380 + ... + 45172397.

It is an arithmetic number, because the mean of its divisors is an integer number (195747019).

Almost surely, 2^813102993 is an apocalyptic number.

It is an amenable number.

813102993 is a deficient number, since it is larger than the sum of its proper divisors (361379121).

813102993 is a wasteful number, since it uses less digits than its factorization.

813102993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90344783 (or 90344780 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 813102993 is about 28514.9608626770. The cubic root of 813102993 is about 933.3585709020.

The spelling of 813102993 in words is "eight hundred thirteen million, one hundred two thousand, nine hundred ninety-three".