261514645353361 has 8 divisors (see below), whose sum is σ = 261861215407848. Its totient is φ = 261168143520000.

The previous prime is 261514645353317. The next prime is 261514645353419. The reversal of 261514645353361 is 163353546415162.

It can be written as a sum of positive squares in 4 ways, for example, as 8277359161600 + 253237286191761 = 2877040^2 + 15913431^2 .

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 261514645353361 - 2³⁵ = 261480285614993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (261514645303361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9381240 + ... + 24719161.

It is an arithmetic number, because the mean of its divisors is an integer number (32732651925981).

Almost surely, 2^{261514645353361} is an apocalyptic number.

It is an amenable number.

261514645353361 is a deficient number, since it is larger than the sum of its proper divisors (346570054487).

261514645353361 is an equidigital number, since it uses as much as digits as its factorization.

261514645353361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34110563.

The product of its digits is 23328000, while the sum is 55.

The spelling of 261514645353361 in words is "two hundred sixty-one trillion, five hundred fourteen billion, six hundred forty-five million, three hundred fifty-three thousand, three hundred sixty-one".