259471570625 has 20 divisors (see below), whose sum is σ = 327210399780. Its totient is φ = 205672824000.

The previous prime is 259471570597. The next prime is 259471570627. The reversal of 259471570625 is 526075174952.

It can be written as a sum of positive squares in 10 ways, for example, as 228946938256 + 30524632369 = 478484^2 + 174713^2 .

It is not a de Polignac number, because 259471570625 - 2¹⁰ = 259471569601 is a prime.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (259471570627) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1836254 + ... + 1972503.

It is an arithmetic number, because the mean of its divisors is an integer number (16360519989).

Almost surely, 2^259471570625 is an apocalyptic number.

259471570625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

259471570625 is a deficient number, since it is larger than the sum of its proper divisors (67738829155).

259471570625 is an equidigital number, since it uses as much as digits as its factorization.

259471570625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3808886 (or 3808871 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 53.

The spelling of 259471570625 in words is "two hundred fifty-nine billion, four hundred seventy-one million, five hundred seventy thousand, six hundred twenty-five".