506290527 has 32 divisors (see below), whose sum is σ = 759384000. Its totient is φ = 333362304.

The previous prime is 506290523. The next prime is 506290529. The reversal of 506290527 is 725092605.

506290527 is a `hidden beast` number, since 5 + 0 + 629 + 0 + 5 + 27 = 666.

It is not a de Polignac number, because 506290527 - 2² = 506290523 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 506290491 and 506290500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506290523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1275093 + ... + 1275489.

It is an arithmetic number, because the mean of its divisors is an integer number (23730750).

Almost surely, 2^506290527 is an apocalyptic number.

506290527 is a deficient number, since it is larger than the sum of its proper divisors (253093473).

506290527 is a wasteful number, since it uses less digits than its factorization.

506290527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 506290527 is about 22500.9005819767. The cubic root of 506290527 is about 797.0151936596.

The spelling of 506290527 in words is "five hundred six million, two hundred ninety thousand, five hundred twenty-seven".