813793941261 has 80 divisors (see below), whose sum is σ = 1406606065920. Its totient is φ = 459256469760.

The previous prime is 813793941241. The next prime is 813793941277. The reversal of 813793941261 is 162149397318.

813793941261 is a `hidden beast` number, since 8 + 1 + 379 + 3 + 9 + 4 + 1 + 261 = 666.

It is not a de Polignac number, because 813793941261 - 2¹⁴ = 813793924877 is a prime.

It is a super-2 number, since 2×813793941261² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 813793941198 and 813793941207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813793941241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44751591 + ... + 44769771.

It is an arithmetic number, because the mean of its divisors is an integer number (17582575824).

Almost surely, 2^813793941261 is an apocalyptic number.

813793941261 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

813793941261 is a deficient number, since it is larger than the sum of its proper divisors (592812124659).

813793941261 is a wasteful number, since it uses less digits than its factorization.

813793941261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19176 (or 19167 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The spelling of 813793941261 in words is "eight hundred thirteen billion, seven hundred ninety-three million, nine hundred forty-one thousand, two hundred sixty-one".