259886641 has 21 divisors (see below), whose sum is σ = 309789049. Its totient is φ = 218020404.

The previous prime is 259886639. The next prime is 259886651. The reversal of 259886641 is 146688952.

The square root of 259886641 is 16121.

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

It is not a de Polignac number, because 259886641 - 2¹ = 259886639 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

Its product of digits (829440) is a multiple of the sum of its prime divisors (54).

It is not an unprimeable number, because it can be changed into a prime (259886611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 5529480 + ... + 5529526.

Almost surely, 2^259886641 is an apocalyptic number.

259886641 is the 16121-st square number.

259886641 is the 8061-st centered octagonal number.

It is an amenable number.

259886641 is a deficient number, since it is larger than the sum of its proper divisors (49902408).

259886641 is an frugal number, since it uses more digits than its factorization.

259886641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 54 counting only the distinct ones).

The product of its digits is 829440, while the sum is 49.

The cubic root of 259886641 is about 638.1576581578.

Multiplying 259886641 by its sum of digits (49), we get a square (12734445409 = 112847²).

259886641 divided by its sum of digits (49) gives a square (5303809 = 2303²).

The spelling of 259886641 in words is "two hundred fifty-nine million, eight hundred eighty-six thousand, six hundred forty-one".