506475747035665 has 64 divisors (see below), whose sum is σ = 714955398128640. Its totient is φ = 340538386256640.

The previous prime is 506475747035651. The next prime is 506475747035669. The reversal of 506475747035665 is 566530747574605.

It is not a de Polignac number, because 506475747035665 - 2⁵ = 506475747035633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 506475747035594 and 506475747035603.

It is not an unprimeable number, because it can be changed into a prime (506475747035669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26311282 + ... + 41294491.

It is an arithmetic number, because the mean of its divisors is an integer number (11171178095760).

Almost surely, 2^{506475747035665} is an apocalyptic number.

506475747035665 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

506475747035665 is a deficient number, since it is larger than the sum of its proper divisors (208479651092975).

506475747035665 is a wasteful number, since it uses less digits than its factorization.

506475747035665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67605982.

The product of its (nonzero) digits is 2222640000, while the sum is 70.

The spelling of 506475747035665 in words is "five hundred six trillion, four hundred seventy-five billion, seven hundred forty-seven million, thirty-five thousand, six hundred sixty-five".