509904386173 has 32 divisors (see below), whose sum is σ = 631943997440. Its totient is φ = 403021681920.

The previous prime is 509904386161. The next prime is 509904386207. The reversal of 509904386173 is 371683409905.

It is not a de Polignac number, because 509904386173 - 2²¹ = 509902289021 is a prime.

It is a super-3 number, since 3×509904386173³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509904380173) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15223861 + ... + 15257317.

It is an arithmetic number, because the mean of its divisors is an integer number (19748249920).

Almost surely, 2^509904386173 is an apocalyptic number.

It is an amenable number.

509904386173 is a deficient number, since it is larger than the sum of its proper divisors (122039611267).

509904386173 is an equidigital number, since it uses as much as digits as its factorization.

509904386173 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34494 (or 34468 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 55.

The spelling of 509904386173 in words is "five hundred nine billion, nine hundred four million, three hundred eighty-six thousand, one hundred seventy-three".