261564213601101 has 8 divisors (see below), whose sum is σ = 348752365044160. Its totient is φ = 174376102279392.

The previous prime is 261564213601099. The next prime is 261564213601123. The reversal of 261564213601101 is 101106312465162.

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

It is not a de Polignac number, because 261564213601101 - 2¹ = 261564213601099 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 261564213601101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261564213601181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12254385 + ... + 25947993.

It is an arithmetic number, because the mean of its divisors is an integer number (43594045630520).

Almost surely, 2^{261564213601101} is an apocalyptic number.

It is an amenable number.

261564213601101 is a deficient number, since it is larger than the sum of its proper divisors (87188151443059).

261564213601101 is a wasteful number, since it uses less digits than its factorization.

261564213601101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20060675.

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 261564213601101 in words is "two hundred sixty-one trillion, five hundred sixty-four billion, two hundred thirteen million, six hundred one thousand, one hundred one".