256962817225 has 9 divisors (see below), whose sum is σ = 318637036263. Its totient is φ = 205568226120.

The previous prime is 256962817193. The next prime is 256962817249. The reversal of 256962817225 is 522718269652.

The square root of 256962817225 is 506915.

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

It can be written as a sum of positive squares in only one way, i.e., 92506614201 + 164456203024 = 304149^2 + 405532^2 .

It is not a de Polignac number, because 256962817225 - 2⁵ = 256962817193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2483884 + ... + 2585266.

Almost surely, 2^256962817225 is an apocalyptic number.

256962817225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

256962817225 is the 506915-th square number.

256962817225 is the 253458-th centered octagonal number.

It is an amenable number.

256962817225 is a deficient number, since it is larger than the sum of its proper divisors (61674219038).

256962817225 is an frugal number, since it uses more digits than its factorization.

256962817225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202776 (or 101388 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 55.

The spelling of 256962817225 in words is "two hundred fifty-six billion, nine hundred sixty-two million, eight hundred seventeen thousand, two hundred twenty-five".