506515525213563 has 16 divisors (see below), whose sum is σ = 750422296419840. Its totient is φ = 337664000229192.

The previous prime is 506515525213549. The next prime is 506515525213567. The reversal of 506515525213563 is 365312525515605.

506515525213563 is a `hidden beast` number, since 5 + 0 + 6 + 5 + 1 + 5 + 52 + 5 + 21 + 3 + 563 = 666.

It is not a de Polignac number, because 506515525213563 - 2¹⁴ = 506515525197179 is a prime.

It is not an unprimeable number, because it can be changed into a prime (506515525213567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360858231 + ... + 362259152.

It is an arithmetic number, because the mean of its divisors is an integer number (46901393526240).

Almost surely, 2^{506515525213563} is an apocalyptic number.

506515525213563 is a deficient number, since it is larger than the sum of its proper divisors (243906771206277).

506515525213563 is a wasteful number, since it uses less digits than its factorization.

506515525213563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723143335 (or 723143329 counting only the distinct ones).

The product of its (nonzero) digits is 20250000, while the sum is 54.

The spelling of 506515525213563 in words is "five hundred six trillion, five hundred fifteen billion, five hundred twenty-five million, two hundred thirteen thousand, five hundred sixty-three".