506507 has 2 divisors, whose sum is σ = 506508. Its totient is φ = 506506.

The previous prime is 506501. The next prime is 506531. The reversal of 506507 is 705605.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 506507 - 2⁴ = 506491 is a prime.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 506507.

It is not a weakly prime, because it can be changed into another prime (506501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253253 + 253254.

It is an arithmetic number, because the mean of its divisors is an integer number (253254).

2⁵⁰⁶⁵⁰⁷ is an apocalyptic number.

506507 is a deficient number, since it is larger than the sum of its proper divisors (1).

506507 is an equidigital number, since it uses as much as digits as its factorization.

506507 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1050, while the sum is 23.

The square root of 506507 is about 711.6930518138. The cubic root of 506507 is about 79.7128769875.

The spelling of 506507 in words is "five hundred six thousand, five hundred seven".