505514413144050 has 96 divisors (see below), whose sum is σ = 1327448872209600. Its totient is φ = 126871577640960.

The previous prime is 505514413144001. The next prime is 505514413144079. The reversal of 505514413144050 is 50441314415505.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 505514413143993 and 505514413144011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122561746 + ... + 126619154.

It is an arithmetic number, because the mean of its divisors is an integer number (13827592418850).

Almost surely, 2^{505514413144050} is an apocalyptic number.

505514413144050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

505514413144050 is an abundant number, since it is smaller than the sum of its proper divisors (821934459065550).

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

505514413144050 is a wasteful number, since it uses less digits than its factorization.

505514413144050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4106300 (or 4106295 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 42.

Adding to 505514413144050 its reverse (50441314415505), we get a palindrome (555955727559555).

The spelling of 505514413144050 in words is "five hundred five trillion, five hundred fourteen billion, four hundred thirteen million, one hundred forty-four thousand, fifty".