505313134344000 has 224 divisors, whose sum is σ = 1853937744796800. Its totient is φ = 134750169100800.

The previous prime is 505313134343993. The next prime is 505313134344017. The reversal of 505313134344000 is 443431313505.

505313134344000 is a `hidden beast` number, since 5 + 0 + 53 + 131 + 3 + 434 + 40 + 0 + 0 = 666.

It is a super-3 number, since 3×505313134344000³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1169490330 + ... + 1169922329.

Almost surely, 2^{505313134344000} is an apocalyptic number.

505313134344000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

505313134344000 is an abundant number, since it is smaller than the sum of its proper divisors (1348624610452800).

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

505313134344000 is a wasteful number, since it uses less digits than its factorization.

505313134344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2339412695 (or 2339412669 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 505313134344000 its reverse (443431313505), we get a palindrome (505756565657505).

The spelling of 505313134344000 in words is "five hundred five trillion, three hundred thirteen billion, one hundred thirty-four million, three hundred forty-four thousand".