813413520 has 60 divisors (see below), whose sum is σ = 2731716156. Its totient is φ = 216910080.

The previous prime is 813413519. The next prime is 813413533. The reversal of 813413520 is 25314318.

It is a happy number.

813413520 is a `hidden beast` number, since 8 + 134 + 1 + 3 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 398721024 + 414692496 = 19968^2 + 20364^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 564151 + ... + 565590.

Almost surely, 2^813413520 is an apocalyptic number.

813413520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

813413520 is an abundant number, since it is smaller than the sum of its proper divisors (1918302636).

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

813413520 is a wasteful number, since it uses less digits than its factorization.

813413520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129760 (or 1129751 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 813413520 is about 28520.4053267130. The cubic root of 813413520 is about 933.4773734609.

Adding to 813413520 its reverse (25314318), we get a palindrome (838727838).

The spelling of 813413520 in words is "eight hundred thirteen million, four hundred thirteen thousand, five hundred twenty".