256190915581225 has 27 divisors (see below), whose sum is σ = 322495696686807. Its totient is φ = 201889510883280.

The previous prime is 256190915581213. The next prime is 256190915581231. The reversal of 256190915581225 is 522185519091652.

The square root of 256190915581225 is 16005965.

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., 92228729609241 + 163962185971984 = 9603579^2 + 12804772^2 .

It is not a de Polignac number, because 256190915581225 - 2²⁷ = 256190781363497 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5361974386 + ... + 5362022164.

Almost surely, 2^{256190915581225} is an apocalyptic number.

256190915581225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

256190915581225 is the 16005965-th square number.

256190915581225 is the 8002983-rd centered octagonal number.

It is an amenable number.

256190915581225 is a deficient number, since it is larger than the sum of its proper divisors (66304781105582).

256190915581225 is an frugal number, since it uses more digits than its factorization.

256190915581225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95702 (or 47851 counting only the distinct ones).

The product of its (nonzero) digits is 19440000, while the sum is 61.

The spelling of 256190915581225 in words is "two hundred fifty-six trillion, one hundred ninety billion, nine hundred fifteen million, five hundred eighty-one thousand, two hundred twenty-five".