561358249 has 27 divisors (see below), whose sum is σ = 628193943. Its totient is φ = 501533424.

The previous prime is 561358243. The next prime is 561358253. The reversal of 561358249 is 942853165.

The square root of 561358249 is 23693.

It is a perfect power (a square), and thus also a powerful number.

561358249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 294362649 + 266995600 = 17157^2 + 16340^2 .

It is not a de Polignac number, because 561358249 - 2¹³ = 561350057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (561358243) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13054822 + ... + 13054864.

Almost surely, 2^561358249 is an apocalyptic number.

561358249 is the 23693-rd square number.

561358249 is the 11847-th centered octagonal number.

It is an amenable number.

561358249 is a deficient number, since it is larger than the sum of its proper divisors (66835694).

561358249 is an equidigital number, since it uses as much as digits as its factorization.

561358249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 91 counting only the distinct ones).

The product of its digits is 259200, while the sum is 43.

The cubic root of 561358249 is about 824.9229185406.

The spelling of 561358249 in words is "five hundred sixty-one million, three hundred fifty-eight thousand, two hundred forty-nine".