259049025 has 81 divisors (see below), whose sum is σ = 493875291. Its totient is φ = 129790080.

The previous prime is 259048991. The next prime is 259049047. The reversal of 259049025 is 520940952.

It is a happy number.

The square root of 259049025 is 16095.

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

259049025 is a `hidden beast` number, since 2 + 590 + 49 + 0 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 48566961 + 210482064 = 6969^2 + 14508^2 .

It is not a de Polignac number, because 259049025 - 2¹⁵ = 259016257 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7001307 + ... + 7001343.

Almost surely, 2^259049025 is an apocalyptic number.

259049025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

259049025 is the 16095-th square number.

259049025 is the 8048-th centered octagonal number.

It is an amenable number.

259049025 is a deficient number, since it is larger than the sum of its proper divisors (234826266).

259049025 is a wasteful number, since it uses less digits than its factorization.

259049025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The cubic root of 259049025 is about 637.4713251231.

Multiplying 259049025 by its sum of digits (36), we get a square (9325764900 = 96570²).

Multiplying 259049025 by its product of nonzero digits (32400), we get a square (8393188410000 = 2897100²).

Adding to 259049025 its reverse (520940952), we get a palindrome (779989977).

It can be divided in two parts, 2590 and 49025, that added together give a palindrome (51615).

The spelling of 259049025 in words is "two hundred fifty-nine million, forty-nine thousand, twenty-five".