259921530625 has 15 divisors (see below), whose sum is σ = 324813872383. Its totient is φ = 207927028000.

The previous prime is 259921530613. The next prime is 259921530643. The reversal of 259921530625 is 526035129952.

The square root of 259921530625 is 509825.

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

It can be written as a sum of positive squares in 7 ways, for example, as 190849280769 + 69072249856 = 436863^2 + 262816^2 .

It is not a de Polignac number, because 259921530625 - 2²³ = 259913142017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 12735429 + ... + 12755821.

Almost surely, 2^259921530625 is an apocalyptic number.

259921530625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

259921530625 is the 509825-th square number.

259921530625 is the 254913-rd centered octagonal number.

It is an amenable number.

259921530625 is a deficient number, since it is larger than the sum of its proper divisors (64892341758).

259921530625 is an frugal number, since it uses more digits than its factorization.

259921530625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40806 (or 20398 counting only the distinct ones).

The product of its (nonzero) digits is 1458000, while the sum is 49.

Multiplying 259921530625 by its sum of digits (49), we get a square (12736155000625 = 3568775²).

The spelling of 259921530625 in words is "two hundred fifty-nine billion, nine hundred twenty-one million, five hundred thirty thousand, six hundred twenty-five".