509212921713 has 8 divisors (see below), whose sum is σ = 678975946176. Its totient is φ = 339462589200.

The previous prime is 509212921669. The next prime is 509212921717. The reversal of 509212921713 is 317129212905.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 509212921713 - 2⁹ = 509212921201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (509212921717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3078973 + ... + 3240138.

It is an arithmetic number, because the mean of its divisors is an integer number (84871993272).

Almost surely, 2^509212921713 is an apocalyptic number.

It is an amenable number.

509212921713 is a deficient number, since it is larger than the sum of its proper divisors (169763024463).

509212921713 is a wasteful number, since it uses less digits than its factorization.

509212921713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6345975.

The product of its (nonzero) digits is 68040, while the sum is 42.

The spelling of 509212921713 in words is "five hundred nine billion, two hundred twelve million, nine hundred twenty-one thousand, seven hundred thirteen".