506034640435665 has 32 divisors (see below), whose sum is σ = 883286778496896. Its totient is φ = 245342818920960.

The previous prime is 506034640435567. The next prime is 506034640435829. The reversal of 506034640435665 is 566534046430605.

It is not a de Polignac number, because 506034640435665 - 2⁸ = 506034640435409 is a prime.

It is a super-2 number, since 2×506034640435665² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40129102 + ... + 51209511.

It is an arithmetic number, because the mean of its divisors is an integer number (27602711828028).

Almost surely, 2^{506034640435665} is an apocalyptic number.

506034640435665 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

506034640435665 is a deficient number, since it is larger than the sum of its proper divisors (377252138061231).

506034640435665 is a wasteful number, since it uses less digits than its factorization.

506034640435665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91372209.

The product of its (nonzero) digits is 93312000, while the sum is 57.

The spelling of 506034640435665 in words is "five hundred six trillion, thirty-four billion, six hundred forty million, four hundred thirty-five thousand, six hundred sixty-five".