261584516 has 12 divisors (see below), whose sum is σ = 467513088. Its totient is φ = 128009352.

The previous prime is 261584509. The next prime is 261584579. The reversal of 261584516 is 615485162.

It is a happy number.

261584516 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 261584516.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 695516 + ... + 695891.

It is an arithmetic number, because the mean of its divisors is an integer number (38959424).

Almost surely, 2^261584516 is an apocalyptic number.

It is an amenable number.

261584516 is a deficient number, since it is larger than the sum of its proper divisors (205928572).

261584516 is a wasteful number, since it uses less digits than its factorization.

261584516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391458 (or 1391456 counting only the distinct ones).

The product of its digits is 57600, while the sum is 38.

The square root of 261584516 is about 16173.5746203491. The cubic root of 261584516 is about 639.5443664542.

The spelling of 261584516 in words is "two hundred sixty-one million, five hundred eighty-four thousand, five hundred sixteen".