509053536 has 72 divisors (see below), whose sum is σ = 1454655384. Its totient is φ = 168860160.

The previous prime is 509053513. The next prime is 509053537. The reversal of 509053536 is 635350905.

509053536 is a `hidden beast` number, since 5 + 0 + 90 + 535 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 509053536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509053537) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56580 + ... + 64956.

It is an arithmetic number, because the mean of its divisors is an integer number (20203547).

Almost surely, 2^509053536 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 509053536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727327692).

509053536 is an abundant number, since it is smaller than the sum of its proper divisors (945601848).

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

509053536 is a wasteful number, since it uses less digits than its factorization.

509053536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8604 (or 8593 counting only the distinct ones).

The product of its (nonzero) digits is 60750, while the sum is 36.

The square root of 509053536 is about 22562.2147849009. The cubic root of 509053536 is about 798.4624300750.

The spelling of 509053536 in words is "five hundred nine million, fifty-three thousand, five hundred thirty-six".