256292100009 has 135 divisors (see below), whose sum is σ = 440584870999. Its totient is φ = 143451850080.

The previous prime is 256292099971. The next prime is 256292100023. The reversal of 256292100009 is 900001292652.

It is a happy number.

The square root of 256292100009 is 506253.

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

256292100009 is a `hidden beast` number, since 2 + 5 + 629 + 21 + 0 + 0 + 0 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 134393360409 + 121898739600 = 366597^2 + 349140^2 .

It is not a de Polignac number, because 256292100009 - 2⁷ = 256292099881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (256292100709) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 8837658607 + ... + 8837658635.

Almost surely, 2^256292100009 is an apocalyptic number.

256292100009 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

256292100009 is the 506253-rd square number.

256292100009 is the 253127-th centered octagonal number.

It is an amenable number.

256292100009 is a deficient number, since it is larger than the sum of its proper divisors (184292770990).

256292100009 is an frugal number, since it uses more digits than its factorization.

256292100009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

Multiplying 256292100009 by its sum of digits (36), we get a square (9226515600324 = 3037518²).

The spelling of 256292100009 in words is "two hundred fifty-six billion, two hundred ninety-two million, one hundred thousand, nine".