259695266216961 has 8 divisors (see below), whose sum is σ = 346269040067520. Its totient is φ = 173125834922192.

The previous prime is 259695266216927. The next prime is 259695266216989. The reversal of 259695266216961 is 169612662596952.

It is a happy number.

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 259695266216961 - 2¹³ = 259695266208769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (259695266216921) 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, 1085499405 + ... + 1085738618.

It is an arithmetic number, because the mean of its divisors is an integer number (43283630008440).

Almost surely, 2^{259695266216961} is an apocalyptic number.

It is an amenable number.

259695266216961 is a deficient number, since it is larger than the sum of its proper divisors (86573773850559).

259695266216961 is a wasteful number, since it uses less digits than its factorization.

259695266216961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171277895.

The product of its digits is 1133740800, while the sum is 75.

The spelling of 259695266216961 in words is "two hundred fifty-nine trillion, six hundred ninety-five billion, two hundred sixty-six million, two hundred sixteen thousand, nine hundred sixty-one".