505523114453120 has 128 divisors (see below), whose sum is σ = 1279632842794800. Its totient is φ = 190310500270080.

The previous prime is 505523114453057. The next prime is 505523114453183. The reversal of 505523114453120 is 21354411325505.

It is an interprime number because it is at equal distance from previous prime (505523114453057) and next prime (505523114453183).

It can be written as a sum of positive squares in 8 ways, for example, as 97398108426304 + 408125006026816 = 9869048^2 + 20202104^2 .

It is a tau number, because it is divible by the number of its divisors (128).

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, 532743890 + ... + 533691950.

Almost surely, 2^{505523114453120} is an apocalyptic number.

It is an amenable number.

505523114453120 is an abundant number, since it is smaller than the sum of its proper divisors (774109728341680).

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

505523114453120 is a wasteful number, since it uses less digits than its factorization.

505523114453120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997106 (or 997094 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 41.

Adding to 505523114453120 its reverse (21354411325505), we get a palindrome (526877525778625).

The spelling of 505523114453120 in words is "five hundred five trillion, five hundred twenty-three billion, one hundred fourteen million, four hundred fifty-three thousand, one hundred twenty".