359006561 has 8 divisors (see below), whose sum is σ = 380298240. Its totient is φ = 337734208.

The previous prime is 359006519. The next prime is 359006579. The reversal of 359006561 is 165600953.

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 359006561 - 2⁶ = 359006497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (359006261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53960 + ... + 60246.

It is an arithmetic number, because the mean of its divisors is an integer number (47537280).

Almost surely, 2^359006561 is an apocalyptic number.

It is an amenable number.

359006561 is a deficient number, since it is larger than the sum of its proper divisors (21291679).

359006561 is a wasteful number, since it uses less digits than its factorization.

359006561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9663.

The product of its (nonzero) digits is 24300, while the sum is 35.

The square root of 359006561 is about 18947.4684588733. The cubic root of 359006561 is about 710.7236957378.

The spelling of 359006561 in words is "three hundred fifty-nine million, six thousand, five hundred sixty-one".