259442516025 has 441 divisors, whose sum is σ = 618540297823. Its totient is φ = 107820266400.

The previous prime is 259442516023. The next prime is 259442516027. The reversal of 259442516025 is 520615244952.

The square root of 259442516025 is 509355.

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

259442516025 is a `hidden beast` number, since 2 + 5 + 94 + 42 + 516 + 0 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (259442516023) and next prime (259442516027).

It can be written as a sum of positive squares in only one way, i.e., 93399305769 + 166043210256 = 305613^2 + 407484^2 .

It is a tau number, because it is divible by the number of its divisors (441).

It is not a de Polignac number, because 259442516025 - 2¹ = 259442516023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (259442516023) by changing a digit.

It is a polite number, since it can be written in 440 ways as a sum of consecutive naturals, for example, 23585683270 + ... + 23585683280.

Almost surely, 2^259442516025 is an apocalyptic number.

259442516025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

259442516025 is the 509355-th square number.

259442516025 is the 254678-th centered octagonal number.

It is an amenable number.

259442516025 is an abundant number, since it is smaller than the sum of its proper divisors (359097781798).

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

259442516025 is an frugal number, since it uses more digits than its factorization.

259442516025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 259442516025 in words is "two hundred fifty-nine billion, four hundred forty-two million, five hundred sixteen thousand, twenty-five".