561353 has 8 divisors (see below), whose sum is σ = 625800. Its totient is φ = 499968.

The previous prime is 561347. The next prime is 561359. The reversal of 561353 is 353165.

It is an interprime number because it is at equal distance from previous prime (561347) and next prime (561359).

It can be written as a sum of positive squares in 4 ways, for example, as 1849 + 559504 = 43^2 + 748^2 .

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 561353 - 2⁸ = 561097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (561359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 368 + ... + 1121.

It is an arithmetic number, because the mean of its divisors is an integer number (78225).

2⁵⁶¹³⁵³ is an apocalyptic number.

It is an amenable number.

561353 is a deficient number, since it is larger than the sum of its proper divisors (64447).

561353 is a wasteful number, since it uses less digits than its factorization.

561353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531.

The product of its digits is 1350, while the sum is 23.

The square root of 561353 is about 749.2349431253. The cubic root of 561353 is about 82.4920347376.

The spelling of 561353 in words is "five hundred sixty-one thousand, three hundred fifty-three".