261585162 has 24 divisors (see below), whose sum is σ = 586312740. Its totient is φ = 84188160.

The previous prime is 261585113. The next prime is 261585167.

261585162 is a `hidden beast` number, since 2 + 61 + 585 + 16 + 2 = 666.

261585162 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 236575161 + 25010001 = 15381^2 + 5001^2 .

It is not an unprimeable number, because it can be changed into a prime (261585167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 250039 + ... + 251082.

Almost surely, 2^261585162 is an apocalyptic number.

261585162 is an abundant number, since it is smaller than the sum of its proper divisors (324727578).

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

261585162 is a wasteful number, since it uses less digits than its factorization.

261585162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501158 (or 501155 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 261585162 is about 16173.5945911847. The cubic root of 261585162 is about 639.5448929192.

The spelling of 261585162 in words is "two hundred sixty-one million, five hundred eighty-five thousand, one hundred sixty-two".