509800457121 has 32 divisors (see below), whose sum is σ = 700403742720. Its totient is φ = 329593634496.

The previous prime is 509800457107. The next prime is 509800457143. The reversal of 509800457121 is 121754008905.

It is not a de Polignac number, because 509800457121 - 2¹⁰ = 509800456097 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (509800457191) 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, 136344870 + ... + 136348608.

It is an arithmetic number, because the mean of its divisors is an integer number (21887616960).

Almost surely, 2^509800457121 is an apocalyptic number.

It is an amenable number.

509800457121 is a deficient number, since it is larger than the sum of its proper divisors (190603285599).

509800457121 is a wasteful number, since it uses less digits than its factorization.

509800457121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7493.

The product of its (nonzero) digits is 100800, while the sum is 42.

The spelling of 509800457121 in words is "five hundred nine billion, eight hundred million, four hundred fifty-seven thousand, one hundred twenty-one".