505043210101434 has 256 divisors, whose sum is σ = 1109886566976000. Its totient is φ = 152599265280000.

The previous prime is 505043210101433. The next prime is 505043210101471. The reversal of 505043210101434 is 434101012340505.

It is a super-3 number, since 3×505043210101434³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 505043210101395 and 505043210101404.

It is not an unprimeable number, because it can be changed into a prime (505043210101433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 315454846234 + ... + 315454847834.

It is an arithmetic number, because the mean of its divisors is an integer number (4335494402250).

Almost surely, 2^{505043210101434} is an apocalyptic number.

505043210101434 is an abundant number, since it is smaller than the sum of its proper divisors (604843356874566).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

505043210101434 is a wasteful number, since it uses less digits than its factorization.

505043210101434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3585.

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 505043210101434 its reverse (434101012340505), we get a palindrome (939144222441939).

The spelling of 505043210101434 in words is "five hundred five trillion, forty-three billion, two hundred ten million, one hundred one thousand, four hundred thirty-four".