260501006133 has 24 divisors (see below), whose sum is σ = 380700342360. Its totient is φ = 171628807680.

The previous prime is 260501006131. The next prime is 260501006147. The reversal of 260501006133 is 331600105062.

260501006133 is a `hidden beast` number, since 26 + 0 + 501 + 0 + 0 + 6 + 133 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 505035729 + 259995970404 = 22473^2 + 509898^2 .

It is not a de Polignac number, because 260501006133 - 2¹ = 260501006131 is a prime.

It is a super-3 number, since 3×260501006133³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 260501006097 and 260501006106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260501006131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1514803 + ... + 1677983.

It is an arithmetic number, because the mean of its divisors is an integer number (15862514265).

Almost surely, 2^260501006133 is an apocalyptic number.

It is an amenable number.

260501006133 is a deficient number, since it is larger than the sum of its proper divisors (120199336227).

260501006133 is a wasteful number, since it uses less digits than its factorization.

260501006133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165269 (or 165266 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 260501006133 in words is "two hundred sixty billion, five hundred one million, six thousand, one hundred thirty-three".