813652708729 has 9 divisors (see below), whose sum is σ = 946501312431. Its totient is φ = 697411195320.

The previous prime is 813652708727. The next prime is 813652708733. The reversal of 813652708729 is 927807256318.

It is a happy number.

The square root of 813652708729 is 902027.

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

It can be written as a sum of positive squares in only one way, i.e., 196579617129 + 617073091600 = 443373^2 + 785540^2 .

It is not a de Polignac number, because 813652708729 - 2¹ = 813652708727 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (813652708727) 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, 6249759 + ... + 6378619.

Almost surely, 2^813652708729 is an apocalyptic number.

813652708729 is the 902027-th square number.

813652708729 is the 451014-th centered octagonal number.

It is an amenable number.

813652708729 is a deficient number, since it is larger than the sum of its proper divisors (132848603702).

813652708729 is an frugal number, since it uses more digits than its factorization.

813652708729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257736 (or 128868 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 58.

The spelling of 813652708729 in words is "eight hundred thirteen billion, six hundred fifty-two million, seven hundred eight thousand, seven hundred twenty-nine".