505054135314513 has 96 divisors (see below), whose sum is σ = 751778724977280. Its totient is φ = 326586187699200.

The previous prime is 505054135314439. The next prime is 505054135314527. The reversal of 505054135314513 is 315413531450505.

505054135314513 is a `hidden beast` number, since 5 + 0 + 5 + 0 + 54 + 13 + 531 + 4 + 51 + 3 = 666.

It is not a de Polignac number, because 505054135314513 - 2⁸ = 505054135314257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (505054135314013) 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, 137504527245 + ... + 137504530917.

It is an arithmetic number, because the mean of its divisors is an integer number (7831028385180).

Almost surely, 2^{505054135314513} is an apocalyptic number.

505054135314513 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

It is an amenable number.

505054135314513 is a deficient number, since it is larger than the sum of its proper divisors (246724589662767).

505054135314513 is a wasteful number, since it uses less digits than its factorization.

505054135314513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7359 (or 7356 counting only the distinct ones).

The product of its (nonzero) digits is 1350000, while the sum is 45.

The spelling of 505054135314513 in words is "five hundred five trillion, fifty-four billion, one hundred thirty-five million, three hundred fourteen thousand, five hundred thirteen".