506007464700605 has 64 divisors (see below), whose sum is σ = 719452637429760. Its totient is φ = 334326523161600.

The previous prime is 506007464700559. The next prime is 506007464700649.

506007464700605 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 506007464700605 - 2⁸ = 506007464700349 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 298459541 + ... + 300150149.

It is an arithmetic number, because the mean of its divisors is an integer number (11241447459840).

Almost surely, 2^{506007464700605} is an apocalyptic number.

It is an amenable number.

506007464700605 is a deficient number, since it is larger than the sum of its proper divisors (213445172729155).

506007464700605 is a wasteful number, since it uses less digits than its factorization.

506007464700605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691850.

The product of its (nonzero) digits is 4233600, while the sum is 50.

The spelling of 506007464700605 in words is "five hundred six trillion, seven billion, four hundred sixty-four million, seven hundred thousand, six hundred five".