506516386753 has 16 divisors (see below), whose sum is σ = 557124906240. Its totient is φ = 457572963456.

The previous prime is 506516386681. The next prime is 506516386763. The reversal of 506516386753 is 357683615605.

It is a cyclic number.

It is not a de Polignac number, because 506516386753 - 2³⁷ = 369077433281 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 506516386694 and 506516386703.

It is not an unprimeable number, because it can be changed into a prime (506516386763) 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, 13875301 + ... + 13911757.

It is an arithmetic number, because the mean of its divisors is an integer number (34820306640).

Almost surely, 2^506516386753 is an apocalyptic number.

It is an amenable number.

506516386753 is a deficient number, since it is larger than the sum of its proper divisors (50608519487).

506516386753 is a wasteful number, since it uses less digits than its factorization.

506516386753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59256.

The product of its (nonzero) digits is 13608000, while the sum is 55.

The spelling of 506516386753 in words is "five hundred six billion, five hundred sixteen million, three hundred eighty-six thousand, seven hundred fifty-three".