506537 has 2 divisors, whose sum is σ = 506538. Its totient is φ = 506536.

The previous prime is 506533. The next prime is 506551. The reversal of 506537 is 735605.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 355216 + 151321 = 596^2 + 389^2 .

It is a cyclic number.

It is not a de Polignac number, because 506537 - 2² = 506533 is a prime.

It is a Chen prime.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 506537.

It is not a weakly prime, because it can be changed into another prime (506531) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253268 + 253269.

It is an arithmetic number, because the mean of its divisors is an integer number (253269).

2⁵⁰⁶⁵³⁷ is an apocalyptic number.

It is an amenable number.

506537 is a deficient number, since it is larger than the sum of its proper divisors (1).

506537 is an equidigital number, since it uses as much as digits as its factorization.

506537 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3150, while the sum is 26.

The square root of 506537 is about 711.7141280037. The cubic root of 506537 is about 79.7144507329.

The spelling of 506537 in words is "five hundred six thousand, five hundred thirty-seven".