505430601705 has 64 divisors (see below), whose sum is σ = 958343892480. Its totient is φ = 251854313472.

The previous prime is 505430601617. The next prime is 505430601713. The reversal of 505430601705 is 507106034505.

505430601705 is a `hidden beast` number, since 5 + 0 + 5 + 43 + 0 + 601 + 7 + 0 + 5 = 666.

It is not a de Polignac number, because 505430601705 - 2¹⁹ = 505430077417 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 505430601705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 489349 + ... + 1118178.

It is an arithmetic number, because the mean of its divisors is an integer number (14974123320).

Almost surely, 2^505430601705 is an apocalyptic number.

It is an amenable number.

505430601705 is a deficient number, since it is larger than the sum of its proper divisors (452913290775).

505430601705 is a wasteful number, since it uses less digits than its factorization.

505430601705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607695 (or 1607689 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 505430601705 in words is "five hundred five billion, four hundred thirty million, six hundred one thousand, seven hundred five".