526726126081 has 9 divisors (see below), whose sum is σ = 535848563523. Its totient is φ = 517756470600.

The previous prime is 526726126049. The next prime is 526726126097. The reversal of 526726126081 is 180621627625.

The square root of 526726126081 is 725759.

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., 185553316081 + 341172810000 = 430759^2 + 584100^2 .

It is not a de Polignac number, because 526726126081 - 2⁵ = 526726126049 is a prime.

It is a super-2 number, since 2×526726126081² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (526726126681) 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, 42813631 + ... + 42825931.

Almost surely, 2^526726126081 is an apocalyptic number.

526726126081 is the 725759-th square number.

526726126081 is the 362880-th centered octagonal number.

It is an amenable number.

526726126081 is a deficient number, since it is larger than the sum of its proper divisors (9122437442).

526726126081 is an frugal number, since it uses more digits than its factorization.

526726126081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24720 (or 12360 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 526726126081 in words is "five hundred twenty-six billion, seven hundred twenty-six million, one hundred twenty-six thousand, eighty-one".