256354879225 has 27 divisors (see below), whose sum is σ = 320740067149. Its totient is φ = 203255093600.

The previous prime is 256354879181. The next prime is 256354879241. The reversal of 256354879225 is 522978453652.

The square root of 256354879225 is 506315.

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

It can be written as a sum of positive squares in 4 ways, for example, as 99424810489 + 156930068736 = 315317^2 + 396144^2 .

It is not a de Polignac number, because 256354879225 - 2⁹ = 256354878713 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 256354879225.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 331635939 + ... + 331636711.

Almost surely, 2^256354879225 is an apocalyptic number.

256354879225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

256354879225 is the 506315-th square number.

256354879225 is the 253158-th centered octagonal number.

It is an amenable number.

256354879225 is a deficient number, since it is larger than the sum of its proper divisors (64385187924).

256354879225 is an frugal number, since it uses more digits than its factorization.

256354879225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 909 counting only the distinct ones).

The product of its digits is 36288000, while the sum is 58.

The spelling of 256354879225 in words is "two hundred fifty-six billion, three hundred fifty-four million, eight hundred seventy-nine thousand, two hundred twenty-five".