813303540 has 144 divisors (see below), whose sum is σ = 2830359168. Its totient is φ = 185179392.

The previous prime is 813303473. The next prime is 813303551. The reversal of 813303540 is 45303318.

It is a happy number.

It is a super-2 number, since 2×813303540² = 1322925296353063200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 368079 + ... + 370281.

It is an arithmetic number, because the mean of its divisors is an integer number (19655272).

Almost surely, 2^813303540 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 813303540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415179584).

813303540 is an abundant number, since it is smaller than the sum of its proper divisors (2017055628).

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

813303540 is a wasteful number, since it uses less digits than its factorization.

813303540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2518 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 813303540 is about 28518.4771683202. The cubic root of 813303540 is about 933.4353003676.

Adding to 813303540 its reverse (45303318), we get a palindrome (858606858).

The spelling of 813303540 in words is "eight hundred thirteen million, three hundred three thousand, five hundred forty".