813533488 has 40 divisors (see below), whose sum is σ = 1665342320. Its totient is φ = 383927040.

The previous prime is 813533473. The next prime is 813533503. The reversal of 813533488 is 884335318.

It is an interprime number because it is at equal distance from previous prime (813533473) and next prime (813533503).

It is a super-2 number, since 2×813533488² = 1323673472194892288, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79378 + ... + 89038.

It is an arithmetic number, because the mean of its divisors is an integer number (41633558).

Almost surely, 2^813533488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813533488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832671160).

813533488 is an abundant number, since it is smaller than the sum of its proper divisors (851808832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

813533488 is a wasteful number, since it uses less digits than its factorization.

813533488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9965 (or 9959 counting only the distinct ones).

The product of its digits is 276480, while the sum is 43.

The square root of 813533488 is about 28522.5084450860. The cubic root of 813533488 is about 933.5232631614.

The spelling of 813533488 in words is "eight hundred thirteen million, five hundred thirty-three thousand, four hundred eighty-eight".