261512615106 has 24 divisors (see below), whose sum is σ = 580430440044. Its totient is φ = 85044752640.

The previous prime is 261512615081. The next prime is 261512615149. The reversal of 261512615106 is 601516215162.

261512615106 is a `hidden beast` number, since 2 + 6 + 15 + 12 + 615 + 10 + 6 = 666.

261512615106 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 239846247081 + 21666368025 = 489741^2 + 147195^2 .

It is a super-3 number, since 3×261512615106³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177175831 + ... + 177177306.

Almost surely, 2^261512615106 is an apocalyptic number.

261512615106 is an abundant number, since it is smaller than the sum of its proper divisors (318917824938).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

261512615106 is a wasteful number, since it uses less digits than its factorization.

261512615106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354353186 (or 354353183 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 261512615106 in words is "two hundred sixty-one billion, five hundred twelve million, six hundred fifteen thousand, one hundred six".