507561 has 8 divisors (see below), whose sum is σ = 680064. Its totient is φ = 336720.

The previous prime is 507557. The next prime is 507571. The reversal of 507561 is 165705.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 507561 - 2² = 507557 is a prime.

It is a Curzon number.

507561 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507571) 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 7 ways as a sum of consecutive naturals, for example, 871 + ... + 1331.

It is an arithmetic number, because the mean of its divisors is an integer number (85008).

2⁵⁰⁷⁵⁶¹ is an apocalyptic number.

It is an amenable number.

507561 is a deficient number, since it is larger than the sum of its proper divisors (172503).

507561 is a wasteful number, since it uses less digits than its factorization.

507561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831.

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 507561 is about 712.4331547591. The cubic root of 507561 is about 79.7681306904.

The spelling of 507561 in words is "five hundred seven thousand, five hundred sixty-one".