813400681536 has 56 divisors (see below), whose sum is σ = 2391247379040. Its totient is φ = 271133559936.

The previous prime is 813400681531. The next prime is 813400681537. The reversal of 813400681536 is 635186004318.

813400681536 is a `hidden beast` number, since 8 + 1 + 34 + 0 + 0 + 6 + 81 + 536 = 666.

It is a super-3 number, since 3×813400681536³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 813400681491 and 813400681500.

It is not an unprimeable number, because it can be changed into a prime (813400681531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 235357266 + ... + 235360721.

Almost surely, 2^813400681536 is an apocalyptic number.

It is an amenable number.

813400681536 is an abundant number, since it is smaller than the sum of its proper divisors (1577846697504).

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

813400681536 is a wasteful number, since it uses less digits than its factorization.

813400681536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470718008 (or 470717992 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 813400681536 in words is "eight hundred thirteen billion, four hundred million, six hundred eighty-one thousand, five hundred thirty-six".