578967288201 has 9 divisors (see below), whose sum is σ = 836289380199. Its totient is φ = 385976670336.

The previous prime is 578967288191. The next prime is 578967288209. The reversal of 578967288201 is 102882769875.

The square root of 578967288201 is 760899.

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., 191804582025 + 387162706176 = 437955^2 + 622224^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 578967288201 - 2⁷ = 578967288073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (578967288209) 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 8 ways as a sum of consecutive naturals, for example, 2155881 + ... + 2409513.

Almost surely, 2^578967288201 is an apocalyptic number.

578967288201 is the 760899-th square number.

578967288201 is the 380450-th centered octagonal number.

It is an amenable number.

578967288201 is a deficient number, since it is larger than the sum of its proper divisors (257322091998).

578967288201 is an frugal number, since it uses more digits than its factorization.

578967288201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507272 (or 253636 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 578967288201 in words is "five hundred seventy-eight billion, nine hundred sixty-seven million, two hundred eighty-eight thousand, two hundred one".