509342917681 has 16 divisors (see below), whose sum is σ = 580433575680. Its totient is φ = 443386722240.

The previous prime is 509342917661. The next prime is 509342917691. The reversal of 509342917681 is 186719243905.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 509342917681 - 2¹⁷ = 509342786609 is a prime.

It is a super-2 number, since 2×509342917681² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (509342917661) 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, 11975166 + ... + 12017623.

It is an arithmetic number, because the mean of its divisors is an integer number (36277098480).

It is a 1-persistent number, because it is pandigital, but 2⋅509342917681 = 1018685835362 is not.

Almost surely, 2^509342917681 is an apocalyptic number.

It is an amenable number.

509342917681 is a deficient number, since it is larger than the sum of its proper divisors (71090657999).

509342917681 is a wasteful number, since it uses less digits than its factorization.

509342917681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23992896.

The product of its (nonzero) digits is 3265920, while the sum is 55.

The spelling of 509342917681 in words is "five hundred nine billion, three hundred forty-two million, nine hundred seventeen thousand, six hundred eighty-one".