578845550761 has 9 divisors (see below), whose sum is σ = 580275607639. Its totient is φ = 577419015136.

The previous prime is 578845550749. The next prime is 578845550771. The reversal of 578845550761 is 167055548875.

It is a happy number.

The square root of 578845550761 is 760819.

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., 355925594025 + 222919956736 = 596595^2 + 472144^2 .

It is not a de Polignac number, because 578845550761 - 2¹⁷ = 578845419689 is a prime.

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 578845550761.

It is not an unprimeable number, because it can be changed into a prime (578845550771) 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 8 ways as a sum of consecutive naturals, for example, 451165026 + ... + 451166308.

Almost surely, 2^578845550761 is an apocalyptic number.

578845550761 is the 760819-th square number.

578845550761 is the 380410-th centered octagonal number.

It is an amenable number.

578845550761 is a deficient number, since it is larger than the sum of its proper divisors (1430056878).

578845550761 is an frugal number, since it uses more digits than its factorization.

578845550761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3752 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 47040000, while the sum is 61.

The spelling of 578845550761 in words is "five hundred seventy-eight billion, eight hundred forty-five million, five hundred fifty thousand, seven hundred sixty-one".