505613626316505 has 64 divisors (see below), whose sum is σ = 1027281903943680. Its totient is φ = 231136887102912.

The previous prime is 505613626316483. The next prime is 505613626316509.

505613626316505 is a `hidden beast` number, since 5 + 0 + 5 + 6 + 1 + 3 + 62 + 63 + 16 + 505 = 666.

505613626316505 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 505613626316505 - 2²⁵ = 505613592762073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (505613626316509) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 359841832 + ... + 361244198.

It is an arithmetic number, because the mean of its divisors is an integer number (16051279749120).

Almost surely, 2^{505613626316505} is an apocalyptic number.

It is an amenable number.

505613626316505 is an abundant number, since it is smaller than the sum of its proper divisors (521668277627175).

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

505613626316505 is a wasteful number, since it uses less digits than its factorization.

505613626316505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783915 (or 1783909 counting only the distinct ones).

The product of its (nonzero) digits is 14580000, while the sum is 54.

The spelling of 505613626316505 in words is "five hundred five trillion, six hundred thirteen billion, six hundred twenty-six million, three hundred sixteen thousand, five hundred five".