259651521054436 has 81 divisors (see below), whose sum is σ = 531596353616937. Its totient is φ = 110647018167840.

The previous prime is 259651521054397. The next prime is 259651521054517. The reversal of 259651521054436 is 634450125156952.

The square root of 259651521054436 is 16113706.

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

259651521054436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2861151952036 + 256790369102400 = 1691494^2 + 16024680^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 40832127825 + ... + 40832134183.

Almost surely, 2^{259651521054436} is an apocalyptic number.

259651521054436 is the 16113706-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259651521054436

259651521054436 is an abundant number, since it is smaller than the sum of its proper divisors (271944832562501).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

259651521054436 is an frugal number, since it uses more digits than its factorization.

259651521054436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13098 (or 6549 counting only the distinct ones).

The product of its (nonzero) digits is 38880000, while the sum is 58.

The spelling of 259651521054436 in words is "two hundred fifty-nine trillion, six hundred fifty-one billion, five hundred twenty-one million, fifty-four thousand, four hundred thirty-six".