505263620042145 has 96 divisors (see below), whose sum is σ = 888621170621184. Its totient is φ = 265557720729600.

The previous prime is 505263620042143. The next prime is 505263620042179. The reversal of 505263620042145 is 541240026362505.

505263620042145 is a `hidden beast` number, since 5 + 0 + 5 + 2 + 6 + 3 + 620 + 0 + 4 + 2 + 14 + 5 = 666.

It is not a de Polignac number, because 505263620042145 - 2¹ = 505263620042143 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 505263620042145.

It is not an unprimeable number, because it can be changed into a prime (505263620042143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1016703925 + ... + 1017200765.

It is an arithmetic number, because the mean of its divisors is an integer number (9256470527304).

Almost surely, 2^{505263620042145} is an apocalyptic number.

It is an amenable number.

505263620042145 is a deficient number, since it is larger than the sum of its proper divisors (383357550579039).

505263620042145 is a wasteful number, since it uses less digits than its factorization.

505263620042145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498183 (or 498180 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 505263620042145 in words is "five hundred five trillion, two hundred sixty-three billion, six hundred twenty million, forty-two thousand, one hundred forty-five".