813102957 has 24 divisors (see below), whose sum is σ = 1216402200. Its totient is φ = 522764928.

The previous prime is 813102889. The next prime is 813102991. The reversal of 813102957 is 759201318.

It can be written as a sum of positive squares in 4 ways, for example, as 157025961 + 656076996 = 12531^2 + 25614^2 .

It is not a de Polignac number, because 813102957 - 2¹⁸ = 812840813 is a prime.

It is a super-2 number, since 2×813102957² = 1322272837364287698, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813102757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357219 + ... + 359487.

It is an arithmetic number, because the mean of its divisors is an integer number (50683425).

Almost surely, 2^813102957 is an apocalyptic number.

813102957 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

It is an amenable number.

813102957 is a deficient number, since it is larger than the sum of its proper divisors (403299243).

813102957 is a wasteful number, since it uses less digits than its factorization.

813102957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3677 (or 3674 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 813102957 is about 28514.9602314294. The cubic root of 813102957 is about 933.3585571273.

The spelling of 813102957 in words is "eight hundred thirteen million, one hundred two thousand, nine hundred fifty-seven".