506611565705 has 12 divisors (see below), whose sum is σ = 707188390020. Its totient is φ = 347390787744.

The previous prime is 506611565671. The next prime is 506611565753. The reversal of 506611565705 is 507565116605.

It can be written as a sum of positive squares in 2 ways, for example, as 52870564096 + 453741001609 = 229936^2 + 673603^2 .

It is not a de Polignac number, because 506611565705 - 2⁶ = 506611565641 is a prime.

It is a super-3 number, since 3×506611565705³ (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 506611565705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1033900910 + ... + 1033901399.

It is an arithmetic number, because the mean of its divisors is an integer number (58932365835).

Almost surely, 2^506611565705 is an apocalyptic number.

It is an amenable number.

506611565705 is a deficient number, since it is larger than the sum of its proper divisors (200576824315).

506611565705 is a wasteful number, since it uses less digits than its factorization.

506611565705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067802328 (or 2067802321 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 47.

The spelling of 506611565705 in words is "five hundred six billion, six hundred eleven million, five hundred sixty-five thousand, seven hundred five".