813605804001 has 9 divisors (see below), whose sum is σ = 1175212292241. Its totient is φ = 542402065332.

The previous prime is 813605803991. The next prime is 813605804047. The reversal of 813605804001 is 100408506318.

The square root of 813605804001 is 902001.

It is a perfect power (a square), and thus also a powerful number.

813605804001 is a `hidden beast` number, since 8 + 1 + 3 + 605 + 8 + 0 + 40 + 0 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 813605804001 - 2⁷ = 813605803873 is a prime.

It is a super-2 number, since 2×813605804001² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (813605804801) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2555670 + ... + 2856336.

Almost surely, 2^813605804001 is an apocalyptic number.

813605804001 is the 902001-st square number.

813605804001 is the 451001-st centered octagonal number.

It is an amenable number.

813605804001 is a deficient number, since it is larger than the sum of its proper divisors (361606488240).

813605804001 is an frugal number, since it uses more digits than its factorization.

813605804001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601340 (or 300670 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Multiplying 813605804001 by its sum of digits (36), we get a square (29289808944036 = 5412006²).

The spelling of 813605804001 in words is "eight hundred thirteen billion, six hundred five million, eight hundred four thousand, one".