813630520 has 128 divisors (see below), whose sum is σ = 1982154240. Its totient is φ = 299819520.

The previous prime is 813630511. The next prime is 813630529. The reversal of 813630520 is 25036318.

It is an interprime number because it is at equal distance from previous prime (813630511) and next prime (813630529).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813630529) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5182282 + ... + 5182438.

It is an arithmetic number, because the mean of its divisors is an integer number (15485580).

Almost surely, 2^813630520 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 813630520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991077120).

813630520 is an abundant number, since it is smaller than the sum of its proper divisors (1168523720).

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

813630520 is a wasteful number, since it uses less digits than its factorization.

813630520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 813630520 is about 28524.2093667818. The cubic root of 813630520 is about 933.5603761709.

Adding to 813630520 its reverse (25036318), we get a palindrome (838666838).

The spelling of 813630520 in words is "eight hundred thirteen million, six hundred thirty thousand, five hundred twenty".