505121353200323 has 8 divisors (see below), whose sum is σ = 517631830220208. Its totient is φ = 492645579308064.

The previous prime is 505121353200311. The next prime is 505121353200361. The reversal of 505121353200323 is 323002353121505.

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 505121353200323 - 2¹⁴ = 505121353183939 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (505121353200623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8675752436 + ... + 8675810657.

It is an arithmetic number, because the mean of its divisors is an integer number (64703978777526).

Almost surely, 2^{505121353200323} is an apocalyptic number.

505121353200323 is a deficient number, since it is larger than the sum of its proper divisors (12510477019885).

505121353200323 is a wasteful number, since it uses less digits than its factorization.

505121353200323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17351563813.

The product of its (nonzero) digits is 81000, while the sum is 35.

The spelling of 505121353200323 in words is "five hundred five trillion, one hundred twenty-one billion, three hundred fifty-three million, two hundred thousand, three hundred twenty-three".