30006561 has 32 divisors (see below), whose sum is σ = 45682560. Its totient is φ = 17385984.

The previous prime is 30006527. The next prime is 30006583. The reversal of 30006561 is 16560003.

It is not a de Polignac number, because 30006561 - 2⁶ = 30006497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (30006511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48325 + ... + 48941.

It is an arithmetic number, because the mean of its divisors is an integer number (1427580).

Almost surely, 2^30006561 is an apocalyptic number.

It is an amenable number.

30006561 is a deficient number, since it is larger than the sum of its proper divisors (15675999).

30006561 is a wasteful number, since it uses less digits than its factorization.

30006561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 30006561 is about 5477.8244769251. The cubic root of 30006561 is about 310.7459006692.

Adding to 30006561 its reverse (16560003), we get a palindrome (46566564).

It can be divided in two parts, 3000 and 6561, that multiplied together give a cube (19683000 = 270³).

The spelling of 30006561 in words is "thirty million, six thousand, five hundred sixty-one".