505524249126513 has 40 divisors (see below), whose sum is σ = 773930048855040. Its totient is φ = 328649405158080.

The previous prime is 505524249126503. The next prime is 505524249126517. The reversal of 505524249126513 is 315621942425505.

505524249126513 is a `hidden beast` number, since 5 + 0 + 5 + 52 + 42 + 491 + 2 + 65 + 1 + 3 = 666.

It is not a de Polignac number, because 505524249126513 - 2²⁵ = 505524215572081 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 505524249126513.

It is not an unprimeable number, because it can be changed into a prime (505524249126517) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26557245 + ... + 41428682.

It is an arithmetic number, because the mean of its divisors is an integer number (19348251221376).

Almost surely, 2^{505524249126513} is an apocalyptic number.

It is an amenable number.

505524249126513 is a deficient number, since it is larger than the sum of its proper divisors (268405799728527).

505524249126513 is a wasteful number, since it uses less digits than its factorization.

505524249126513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67988219 (or 67988210 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 505524249126513 in words is "five hundred five trillion, five hundred twenty-four billion, two hundred forty-nine million, one hundred twenty-six thousand, five hundred thirteen".