10580561 has 2 divisors, whose sum is σ = 10580562. Its totient is φ = 10580560.

The previous prime is 10580551. The next prime is 10580597. The reversal of 10580561 is 16508501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6250000 + 4330561 = 2500^2 + 2081^2 .

It is a cyclic number.

It is not a de Polignac number, because 10580561 - 2¹⁰ = 10579537 is a prime.

It is a super-2 number, since 2×10580561² = 223896542149442, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10580561.

It is not a weakly prime, because it can be changed into another prime (10580551) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5290280 + 5290281.

It is an arithmetic number, because the mean of its divisors is an integer number (5290281).

Almost surely, 2^10580561 is an apocalyptic number.

It is an amenable number.

10580561 is a deficient number, since it is larger than the sum of its proper divisors (1).

10580561 is an equidigital number, since it uses as much as digits as its factorization.

10580561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1200, while the sum is 26.

The square root of 10580561 is about 3252.7774285985. Note that the first 3 decimals coincide. The cubic root of 10580561 is about 219.5345600701.

The spelling of 10580561 in words is "ten million, five hundred eighty thousand, five hundred sixty-one".