505406165607 has 72 divisors (see below), whose sum is σ = 881068586112. Its totient is φ = 278067081600.

The previous prime is 505406165603. The next prime is 505406165651. The reversal of 505406165607 is 706561604505.

505406165607 is a `hidden beast` number, since 50 + 540 + 6 + 1 + 6 + 56 + 0 + 7 = 666.

It is not a de Polignac number, because 505406165607 - 2² = 505406165603 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505406165603) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2599357 + ... + 2787017.

It is an arithmetic number, because the mean of its divisors is an integer number (12237063696).

Almost surely, 2^505406165607 is an apocalyptic number.

505406165607 is a deficient number, since it is larger than the sum of its proper divisors (375662420505).

505406165607 is a wasteful number, since it uses less digits than its factorization.

505406165607 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187909 (or 187899 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 505406165607 in words is "five hundred five billion, four hundred six million, one hundred sixty-five thousand, six hundred seven".