261677567 has 8 divisors (see below), whose sum is σ = 268753680. Its totient is φ = 254689600.

The previous prime is 261677561. The next prime is 261677587. The reversal of 261677567 is 765776162.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 261677567 - 2¹² = 261673471 is a prime.

It is a Duffinian number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261677561) 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 7 ways as a sum of consecutive naturals, for example, 15998 + ... + 27915.

It is an arithmetic number, because the mean of its divisors is an integer number (33594210).

Almost surely, 2^261677567 is an apocalyptic number.

261677567 is a deficient number, since it is larger than the sum of its proper divisors (7076113).

261677567 is a wasteful number, since it uses less digits than its factorization.

261677567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44073.

The product of its digits is 740880, while the sum is 47.

The square root of 261677567 is about 16176.4510013785. The cubic root of 261677567 is about 639.6201904986.

The spelling of 261677567 in words is "two hundred sixty-one million, six hundred seventy-seven thousand, five hundred sixty-seven".