505135003410144 has 36 divisors (see below), whose sum is σ = 1436477665948416. Its totient is φ = 168378334469952.

The previous prime is 505135003410019. The next prime is 505135003410151. The reversal of 505135003410144 is 441014300531505.

505135003410144 is a `hidden beast` number, since 5 + 0 + 5 + 1 + 3 + 500 + 3 + 4 + 1 + 0 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×505135003410144² (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 505135003410099 and 505135003410108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 876970491744 + ... + 876970492319.

It is an arithmetic number, because the mean of its divisors is an integer number (39902157387456).

Almost surely, 2^{505135003410144} is an apocalyptic number.

It is an amenable number.

505135003410144 is an abundant number, since it is smaller than the sum of its proper divisors (931342662538272).

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

505135003410144 is a wasteful number, since it uses less digits than its factorization.

505135003410144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753940984079 (or 1753940984068 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 505135003410144 its reverse (441014300531505), we get a palindrome (946149303941649).

The spelling of 505135003410144 in words is "five hundred five trillion, one hundred thirty-five billion, three million, four hundred ten thousand, one hundred forty-four".