678068255601 has 27 divisors (see below), whose sum is σ = 1076608814827. Its totient is φ = 410933988960.

The previous prime is 678068255561. The next prime is 678068255629. The reversal of 678068255601 is 106552860876.

The square root of 678068255601 is 823449.

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

678068255601 is a `hidden beast` number, since 6 + 7 + 8 + 0 + 6 + 8 + 25 + 5 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 491983002225 + 186085253376 = 701415^2 + 431376^2 .

It is not a de Polignac number, because 678068255601 - 2¹⁷ = 678068124529 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (678068259601) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 27161341 + ... + 27186293.

Almost surely, 2^678068255601 is an apocalyptic number.

678068255601 is the 823449-th square number.

678068255601 is the 411725-th centered octagonal number.

It is an amenable number.

678068255601 is a deficient number, since it is larger than the sum of its proper divisors (398540559226).

678068255601 is an frugal number, since it uses more digits than its factorization.

678068255601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49934 (or 24967 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 678068255601 in words is "six hundred seventy-eight billion, sixty-eight million, two hundred fifty-five thousand, six hundred one".