509000536 has 48 divisors (see below), whose sum is σ = 1110768120. Its totient is φ = 217747200.

The previous prime is 509000533. The next prime is 509000537. The reversal of 509000536 is 635000905.

It is a happy number.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509000533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 991 + ... + 31921.

Almost surely, 2^509000536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509000536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555384060).

509000536 is an abundant number, since it is smaller than the sum of its proper divisors (601767584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

509000536 is a wasteful number, since it uses less digits than its factorization.

509000536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30976 (or 30961 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 28.

The square root of 509000536 is about 22561.0402242450. The cubic root of 509000536 is about 798.4347185315.

The spelling of 509000536 in words is "five hundred nine million, five hundred thirty-six", and thus it is an aban number.