726775005121 has 27 divisors (see below), whose sum is σ = 843316332033. Its totient is φ = 625777174440.

The previous prime is 726775005091. The next prime is 726775005137. The reversal of 726775005121 is 121500577627.

The square root of 726775005121 is 852511.

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

It is not a de Polignac number, because 726775005121 - 2²⁵ = 726741450689 is a prime.

It is a super-3 number, since 3×726775005121³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (726775005421) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 178172760 + ... + 178176838.

Almost surely, 2^726775005121 is an apocalyptic number.

726775005121 is the 852511-st square number.

726775005121 is the 426256-th centered octagonal number.

It is an amenable number.

726775005121 is a deficient number, since it is larger than the sum of its proper divisors (116541326912).

726775005121 is an frugal number, since it uses more digits than its factorization.

726775005121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8218 (or 4109 counting only the distinct ones).

The product of its (nonzero) digits is 205800, while the sum is 43.

The spelling of 726775005121 in words is "seven hundred twenty-six billion, seven hundred seventy-five million, five thousand, one hundred twenty-one".