506888605 has 16 divisors (see below), whose sum is σ = 635921280. Its totient is φ = 387141568.

The previous prime is 506888581. The next prime is 506888611.

506888605 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 506888605 - 2¹⁹ = 506364317 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60831 + ... + 68659.

It is an arithmetic number, because the mean of its divisors is an integer number (39745080).

Almost surely, 2^506888605 is an apocalyptic number.

It is an amenable number.

506888605 is a deficient number, since it is larger than the sum of its proper divisors (129032675).

506888605 is a wasteful number, since it uses less digits than its factorization.

506888605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8420.

The product of its (nonzero) digits is 460800, while the sum is 46.

The square root of 506888605 is about 22514.1867496918. The cubic root of 506888605 is about 797.3289066051.

It can be divided in two parts, 506 and 888605, that added together give a triangular number (889111 = T₁₃₃₃).

The spelling of 506888605 in words is "five hundred six million, eight hundred eighty-eight thousand, six hundred five".