505141212324321 has 6 divisors (see below), whose sum is σ = 729648417801810. Its totient is φ = 336760808216208.

The previous prime is 505141212324317. The next prime is 505141212324383. The reversal of 505141212324321 is 123423212141505.

505141212324321 is a `hidden beast` number, since 5 + 0 + 5 + 1 + 4 + 1 + 2 + 1 + 2 + 324 + 321 = 666.

It can be written as a sum of positive squares in only one way, i.e., 312495279031296 + 192645933293025 = 17677536^2 + 13879695^2 .

It is not a de Polignac number, because 505141212324321 - 2² = 505141212324317 is a prime.

It is a super-3 number, since 3×505141212324321³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (505141212324421) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28063400684676 + ... + 28063400684693.

It is an arithmetic number, because the mean of its divisors is an integer number (121608069633635).

Almost surely, 2^{505141212324321} is an apocalyptic number.

It is an amenable number.

505141212324321 is a deficient number, since it is larger than the sum of its proper divisors (224507205477489).

505141212324321 is a wasteful number, since it uses less digits than its factorization.

505141212324321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56126801369375 (or 56126801369372 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 505141212324321 its reverse (123423212141505), we get a palindrome (628564424465826).

The spelling of 505141212324321 in words is "five hundred five trillion, one hundred forty-one billion, two hundred twelve million, three hundred twenty-four thousand, three hundred twenty-one".