509016542791 has 8 divisors (see below), whose sum is σ = 526787312400. Its totient is φ = 491260338240.

The previous prime is 509016542779. The next prime is 509016542803. The reversal of 509016542791 is 197245610905.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (509016542779) and next prime (509016542803).

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 509016542791 - 2¹⁹ = 509016018503 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 (509016542701) 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 7 ways as a sum of consecutive naturals, for example, 3570126 + ... + 3709963.

It is an arithmetic number, because the mean of its divisors is an integer number (65848414050).

Almost surely, 2^509016542791 is an apocalyptic number.

509016542791 is a deficient number, since it is larger than the sum of its proper divisors (17770769609).

509016542791 is a wasteful number, since it uses less digits than its factorization.

509016542791 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7282529.

The product of its (nonzero) digits is 680400, while the sum is 49.

The spelling of 509016542791 in words is "five hundred nine billion, sixteen million, five hundred forty-two thousand, seven hundred ninety-one".