512537 has 2 divisors, whose sum is σ = 512538. Its totient is φ = 512536.

The previous prime is 512531. The next prime is 512543. The reversal of 512537 is 735215.

It is a balanced prime because it is at equal distance from previous prime (512531) and next prime (512543).

It can be written as a sum of positive squares in only one way, i.e., 309136 + 203401 = 556^2 + 451^2 .

It is a cyclic number.

It is not a de Polignac number, because 512537 - 2⁴ = 512521 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (512531) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256268 + 256269.

It is an arithmetic number, because the mean of its divisors is an integer number (256269).

2⁵¹²⁵³⁷ is an apocalyptic number.

It is an amenable number.

512537 is a deficient number, since it is larger than the sum of its proper divisors (1).

512537 is an equidigital number, since it uses as much as digits as its factorization.

512537 is an evil number, because the sum of its binary digits is even.

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

The square root of 512537 is about 715.9168946184. The cubic root of 512537 is about 80.0279589776.

The spelling of 512537 in words is "five hundred twelve thousand, five hundred thirty-seven".