509412000133 has 16 divisors (see below), whose sum is σ = 513421921584. Its totient is φ = 505421844480.

The previous prime is 509412000059. The next prime is 509412000173. The reversal of 509412000133 is 331000214905.

It can be written as a sum of positive squares in 8 ways, for example, as 135849004929 + 373562995204 = 368577^2 + 611198^2 .

It is a cyclic number.

It is not a de Polignac number, because 509412000133 - 2¹³ = 509411991941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509412000173) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81152191 + ... + 81158467.

It is an arithmetic number, because the mean of its divisors is an integer number (32088870099).

Almost surely, 2^509412000133 is an apocalyptic number.

It is an amenable number.

509412000133 is a deficient number, since it is larger than the sum of its proper divisors (4009921451).

509412000133 is a wasteful number, since it uses less digits than its factorization.

509412000133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7752.

The product of its (nonzero) digits is 3240, while the sum is 28.

The spelling of 509412000133 in words is "five hundred nine billion, four hundred twelve million, one hundred thirty-three", and thus it is an aban number.