506160516007 has 8 divisors (see below), whose sum is σ = 520399224000. Its totient is φ = 492066363744.

The previous prime is 506160515977. The next prime is 506160516049. The reversal of 506160516007 is 700615061605.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 506160516007 - 2⁷ = 506160515879 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506160516067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36131832 + ... + 36145837.

It is an arithmetic number, because the mean of its divisors is an integer number (65049903000).

Almost surely, 2^506160516007 is an apocalyptic number.

506160516007 is a deficient number, since it is larger than the sum of its proper divisors (14238707993).

506160516007 is a wasteful number, since it uses less digits than its factorization.

506160516007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72277865.

The product of its (nonzero) digits is 37800, while the sum is 37.

The spelling of 506160516007 in words is "five hundred six billion, one hundred sixty million, five hundred sixteen thousand, seven".