256633336652 has 48 divisors (see below), whose sum is σ = 560061250560. Its totient is φ = 99963091200.

The previous prime is 256633336601. The next prime is 256633336777.

256633336652 is nontrivially palindromic in base 10.

256633336652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×256633336652² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 256633336652.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1217924 + ... + 1413012.

It is an arithmetic number, because the mean of its divisors is an integer number (11667942720).

Almost surely, 2^256633336652 is an apocalyptic number.

256633336652 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

256633336652 is an abundant number, since it is smaller than the sum of its proper divisors (303427913908).

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

256633336652 is a wasteful number, since it uses less digits than its factorization.

256633336652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199382 (or 199380 counting only the distinct ones).

The product of its digits is 10497600, while the sum is 50.

The spelling of 256633336652 in words is "two hundred fifty-six billion, six hundred thirty-three million, three hundred thirty-six thousand, six hundred fifty-two".