509321123905 has 16 divisors (see below), whose sum is σ = 673349122368. Its totient is φ = 366747880000.

The previous prime is 509321123867. The next prime is 509321123923.

509321123905 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 509321123905 - 2¹⁵ = 509321091137 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45837931 + ... + 45849040.

It is an arithmetic number, because the mean of its divisors is an integer number (42084320148).

Almost surely, 2^509321123905 is an apocalyptic number.

509321123905 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

509321123905 is a deficient number, since it is larger than the sum of its proper divisors (164027998463).

509321123905 is a wasteful number, since it uses less digits than its factorization.

509321123905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91687088.

The product of its (nonzero) digits is 72900, while the sum is 40.

The spelling of 509321123905 in words is "five hundred nine billion, three hundred twenty-one million, one hundred twenty-three thousand, nine hundred five".