526513011601013 has 8 divisors (see below), whose sum is σ = 557490286960920. Its totient is φ = 495536394211840.

The previous prime is 526513011601001. The next prime is 526513011601067. The reversal of 526513011601013 is 310106110315625.

It can be written as a sum of positive squares in 4 ways, for example, as 165199557588004 + 361313454013009 = 12852998^2 + 19008247^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 526513011601013 - 2¹² = 526513011596917 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (526513011601813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162844718 + ... + 166046463.

It is an arithmetic number, because the mean of its divisors is an integer number (69686285870115).

Almost surely, 2^{526513011601013} is an apocalyptic number.

It is an amenable number.

526513011601013 is a deficient number, since it is larger than the sum of its proper divisors (30977275359907).

526513011601013 is a wasteful number, since it uses less digits than its factorization.

526513011601013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328985367.

The product of its (nonzero) digits is 16200, while the sum is 35.

Adding to 526513011601013 its reverse (310106110315625), we get a palindrome (836619121916638).

The spelling of 526513011601013 in words is "five hundred twenty-six trillion, five hundred thirteen billion, eleven million, six hundred one thousand, thirteen".