256324501225 has 27 divisors (see below), whose sum is σ = 344216712303. Its totient is φ = 189261483840.

The previous prime is 256324501219. The next prime is 256324501231. The reversal of 256324501225 is 522105423652.

The square root of 256324501225 is 506285.

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

It is an interprime number because it is at equal distance from previous prime (256324501219) and next prime (256324501231).

It can be written as a sum of positive squares in 13 ways, for example, as 227068451289 + 29256049936 = 476517^2 + 171044^2 .

It is not a de Polignac number, because 256324501225 - 2⁹ = 256324500713 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 (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32904631 + ... + 32912419.

Almost surely, 2^256324501225 is an apocalyptic number.

256324501225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

256324501225 is the 506285-th square number.

256324501225 is the 253143-rd centered octagonal number.

It is an amenable number.

256324501225 is a deficient number, since it is larger than the sum of its proper divisors (87892211078).

256324501225 is an frugal number, since it uses more digits than its factorization.

256324501225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15614 (or 7807 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

Adding to 256324501225 its reverse (522105423652), we get a palindrome (778429924877).

The spelling of 256324501225 in words is "two hundred fifty-six billion, three hundred twenty-four million, five hundred one thousand, two hundred twenty-five".