813007881 has 64 divisors (see below), whose sum is σ = 1476403200. Its totient is φ = 431578368.

The previous prime is 813007879. The next prime is 813007889. The reversal of 813007881 is 188700318.

It is not a de Polignac number, because 813007881 - 2¹ = 813007879 is a prime.

It is a super-2 number, since 2×813007881² = 1321963629136220322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (813007889) 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 in 63 ways as a sum of consecutive naturals, for example, 252226 + ... + 255428.

It is an arithmetic number, because the mean of its divisors is an integer number (23068800).

Almost surely, 2^813007881 is an apocalyptic number.

It is an amenable number.

813007881 is a deficient number, since it is larger than the sum of its proper divisors (663395319).

813007881 is a wasteful number, since it uses less digits than its factorization.

813007881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3315 (or 3309 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 813007881 is about 28513.2930578003. The cubic root of 813007881 is about 933.3221765531.

The spelling of 813007881 in words is "eight hundred thirteen million, seven thousand, eight hundred eighty-one".