256964225 has 24 divisors (see below), whose sum is σ = 365238528. Its totient is φ = 175680000.

The previous prime is 256964221. The next prime is 256964233. The reversal of 256964225 is 522469652.

256964225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 256964225 - 2² = 256964221 is a prime.

It is a super-3 number, since 3×256964225³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (256964221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62225 + ... + 66225.

It is an arithmetic number, because the mean of its divisors is an integer number (15218272).

Almost surely, 2^256964225 is an apocalyptic number.

256964225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

256964225 is a deficient number, since it is larger than the sum of its proper divisors (108274303).

256964225 is a wasteful number, since it uses less digits than its factorization.

256964225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4385 (or 4380 counting only the distinct ones).

The product of its digits is 259200, while the sum is 41.

The square root of 256964225 is about 16030.1037114549. The cubic root of 256964225 is about 635.7566156338.

It can be divided in two parts, 2569 and 64225, that multiplied together give a square (164994025 = 12845²).

The spelling of 256964225 in words is "two hundred fifty-six million, nine hundred sixty-four thousand, two hundred twenty-five".