256552380100 has 27 divisors (see below), whose sum is σ = 556729656301. Its totient is φ = 102618926000.

The previous prime is 256552380089. The next prime is 256552380167. The reversal of 256552380100 is 1083255652.

It is a happy number.

The square root of 256552380100 is 506510.

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., 92358856836 + 164193523264 = 303906^2 + 405208^2 .

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 256552380100.

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 8 ways as a sum of consecutive naturals, for example, 5039775 + ... + 5090425.

Almost surely, 2^256552380100 is an apocalyptic number.

256552380100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

256552380100 is the 506510-th square number.

It is an amenable number.

256552380100 is an abundant number, since it is smaller than the sum of its proper divisors (300177276201).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

256552380100 is an frugal number, since it uses more digits than its factorization.

256552380100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101316 (or 50658 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

The spelling of 256552380100 in words is "two hundred fifty-six billion, five hundred fifty-two million, three hundred eighty thousand, one hundred".