259080346816729 has 3 divisors (see below), whose sum is σ = 259080362912703. Its totient is φ = 259080330720756.

The previous prime is 259080346816723. The next prime is 259080346816747. The reversal of 259080346816729 is 927618643080952.

The square root of 259080346816729 is 16095973.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 91498311975625 + 167582034841104 = 9565475^2 + 12945348^2 .

It is not a de Polignac number, because 259080346816729 - 2⁴³ = 250284253794521 is a prime.

It is a super-2 number, since 2×259080346816729² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (259080346816723) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 8047987 + ... + 24143959.

It is an arithmetic number, because the mean of its divisors is an integer number (86360120970901).

It is a 1-persistent number, because it is pandigital, but 2⋅259080346816729 = 518160693633458 is not.

Almost surely, 2^{259080346816729} is an apocalyptic number.

259080346816729 is the 16095973-rd square number.

259080346816729 is the 8047987-th centered octagonal number.

It is an amenable number.

259080346816729 is a deficient number, since it is larger than the sum of its proper divisors (16095974).

259080346816729 is an frugal number, since it uses more digits than its factorization.

259080346816729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32191946 (or 16095973 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 70.

The spelling of 259080346816729 in words is "two hundred fifty-nine trillion, eighty billion, three hundred forty-six million, eight hundred sixteen thousand, seven hundred twenty-nine".