259784868825 has 72 divisors (see below), whose sum is σ = 481501514520. Its totient is φ = 133731763200.

The previous prime is 259784868823. The next prime is 259784868853. The reversal of 259784868825 is 528868487952.

It is a happy number.

259784868825 is a `hidden beast` number, since 2 + 59 + 78 + 486 + 8 + 8 + 25 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 127337640336 + 132447228489 = 356844^2 + 363933^2 .

It is not a de Polignac number, because 259784868825 - 2¹ = 259784868823 is a prime.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (259784868821) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38239629 + ... + 38246421.

It is an arithmetic number, because the mean of its divisors is an integer number (6687521035).

Almost surely, 2^259784868825 is an apocalyptic number.

259784868825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

259784868825 is a deficient number, since it is larger than the sum of its proper divisors (221716645695).

259784868825 is a wasteful number, since it uses less digits than its factorization.

259784868825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12699 (or 12691 counting only the distinct ones).

The product of its digits is 619315200, while the sum is 72.

The spelling of 259784868825 in words is "two hundred fifty-nine billion, seven hundred eighty-four million, eight hundred sixty-eight thousand, eight hundred twenty-five".