506513685846263 has 8 divisors (see below), whose sum is σ = 536308806182400. Its totient is φ = 476718587470080.

The previous prime is 506513685846239. The next prime is 506513685846281. The reversal of 506513685846263 is 362648586315605.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 506513685846263 - 2⁴² = 502115639335159 is a prime.

It is a super-2 number, since 2×506513685846263² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 506513685846193 and 506513685846202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506513685848263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80306378 + ... + 86383688.

It is an arithmetic number, because the mean of its divisors is an integer number (67038600772800).

Almost surely, 2^{506513685846263} is an apocalyptic number.

506513685846263 is a deficient number, since it is larger than the sum of its proper divisors (29795120336137).

506513685846263 is a wasteful number, since it uses less digits than its factorization.

506513685846263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10979977.

The product of its (nonzero) digits is 746496000, while the sum is 68.

The spelling of 506513685846263 in words is "five hundred six trillion, five hundred thirteen billion, six hundred eighty-five million, eight hundred forty-six thousand, two hundred sixty-three".