256512759025 has 24 divisors (see below), whose sum is σ = 336946730904. Its totient is φ = 193046937600.

The previous prime is 256512758963. The next prime is 256512759049. The reversal of 256512759025 is 520957215652.

It can be written as a sum of positive squares in 12 ways, for example, as 171767144704 + 84745614321 = 414448^2 + 291111^2 .

It is not a de Polignac number, because 256512759025 - 2³⁵ = 222153020657 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 256512759025.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 755205 + ... + 1040845.

It is an arithmetic number, because the mean of its divisors is an integer number (14039447121).

Almost surely, 2^256512759025 is an apocalyptic number.

256512759025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

256512759025 is a deficient number, since it is larger than the sum of its proper divisors (80433971879).

256512759025 is a wasteful number, since it uses less digits than its factorization.

256512759025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287781 (or 287776 counting only the distinct ones).

The product of its (nonzero) digits is 1890000, while the sum is 49.

The spelling of 256512759025 in words is "two hundred fifty-six billion, five hundred twelve million, seven hundred fifty-nine thousand, twenty-five".