556784958001 has 8 divisors (see below), whose sum is σ = 590166206280. Its totient is φ = 523473619968.

The previous prime is 556784957999. The next prime is 556784958013. The reversal of 556784958001 is 100859487655.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 126343991601 + 430440966400 = 355449^2 + 656080^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 556784958001 - 2¹ = 556784957999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (556784958031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17461156 + ... + 17493013.

It is an arithmetic number, because the mean of its divisors is an integer number (73770775785).

Almost surely, 2^556784958001 is an apocalyptic number.

It is an amenable number.

556784958001 is a deficient number, since it is larger than the sum of its proper divisors (33381248279).

556784958001 is a wasteful number, since it uses less digits than its factorization.

556784958001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34955123.

The product of its (nonzero) digits is 12096000, while the sum is 58.

The spelling of 556784958001 in words is "five hundred fifty-six billion, seven hundred eighty-four million, nine hundred fifty-eight thousand, one".