537509 has 8 divisors (see below), whose sum is σ = 634368. Its totient is φ = 445680.

The previous prime is 537497. The next prime is 537527. The reversal of 537509 is 905735.

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 537509 - 2¹² = 533413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1022 + ... + 1455.

It is an arithmetic number, because the mean of its divisors is an integer number (79296).

2⁵³⁷⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

537509 is a deficient number, since it is larger than the sum of its proper divisors (96859).

537509 is a wasteful number, since it uses less digits than its factorization.

537509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2515.

The product of its (nonzero) digits is 4725, while the sum is 29.

The square root of 537509 is about 733.1500528541. The cubic root of 537509 is about 81.3071203861.

The spelling of 537509 in words is "five hundred thirty-seven thousand, five hundred nine".