505061632305 has 12 divisors (see below), whose sum is σ = 875440162740. Its totient is φ = 269366203872.

The previous prime is 505061632303. The next prime is 505061632331. The reversal of 505061632305 is 503236160505.

505061632305 is a `hidden beast` number, since 5 + 0 + 5 + 0 + 616 + 3 + 2 + 30 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 397293217344 + 107768414961 = 630312^2 + 328281^2 .

It is not a de Polignac number, because 505061632305 - 2¹ = 505061632303 is a prime.

It is a super-2 number, since 2×505061632305² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 505061632305.

It is not an unprimeable number, because it can be changed into a prime (505061632303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5611795870 + ... + 5611795959.

It is an arithmetic number, because the mean of its divisors is an integer number (72953346895).

Almost surely, 2^505061632305 is an apocalyptic number.

It is an amenable number.

505061632305 is a deficient number, since it is larger than the sum of its proper divisors (370378530435).

505061632305 is a wasteful number, since it uses less digits than its factorization.

505061632305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11223591840 (or 11223591837 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 505061632305 in words is "five hundred five billion, sixty-one million, six hundred thirty-two thousand, three hundred five".