261590461 has 16 divisors (see below), whose sum is σ = 301340160. Its totient is φ = 224581680.

The previous prime is 261590447. The next prime is 261590467. The reversal of 261590461 is 164095162.

It is a cyclic number.

It is not a de Polignac number, because 261590461 - 2¹⁵ = 261557693 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261590467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70720 + ... + 74326.

It is an arithmetic number, because the mean of its divisors is an integer number (18833760).

Almost surely, 2^261590461 is an apocalyptic number.

It is an amenable number.

261590461 is a deficient number, since it is larger than the sum of its proper divisors (39749699).

261590461 is a wasteful number, since it uses less digits than its factorization.

261590461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3984.

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 261590461 is about 16173.7584067526. The cubic root of 261590461 is about 639.5492113669.

The spelling of 261590461 in words is "two hundred sixty-one million, five hundred ninety thousand, four hundred sixty-one".