507660164505 has 64 divisors (see below), whose sum is σ = 972149149440. Its totient is φ = 249868800000.

The previous prime is 507660164443. The next prime is 507660164537. The reversal of 507660164505 is 505461066705.

507660164505 is a `hidden beast` number, since 5 + 0 + 76 + 60 + 16 + 4 + 505 = 666.

It is not a de Polignac number, because 507660164505 - 2¹⁹ = 507659640217 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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, 8395630 + ... + 8455880.

It is an arithmetic number, because the mean of its divisors is an integer number (15189830460).

Almost surely, 2^507660164505 is an apocalyptic number.

It is an amenable number.

507660164505 is a deficient number, since it is larger than the sum of its proper divisors (464488984935).

507660164505 is a wasteful number, since it uses less digits than its factorization.

507660164505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65079 (or 65073 counting only the distinct ones).

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

The spelling of 507660164505 in words is "five hundred seven billion, six hundred sixty million, one hundred sixty-four thousand, five hundred five".