506410217064 has 48 divisors (see below), whose sum is σ = 1377414101700. Its totient is φ = 168078921984.

The previous prime is 506410217059. The next prime is 506410217087. The reversal of 506410217064 is 460712014605.

506410217064 is a `hidden beast` number, since 5 + 0 + 641 + 0 + 2 + 1 + 7 + 0 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 493267428900 + 13142788164 = 702330^2 + 114642^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15076519 + ... + 15110070.

Almost surely, 2^506410217064 is an apocalyptic number.

It is an amenable number.

506410217064 is an abundant number, since it is smaller than the sum of its proper divisors (871003884636).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

506410217064 is a wasteful number, since it uses less digits than its factorization.

506410217064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30186834 (or 30186827 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 506410217064 in words is "five hundred six billion, four hundred ten million, two hundred seventeen thousand, sixty-four".