505827207 has 32 divisors (see below), whose sum is σ = 768614400. Its totient is φ = 328623264.

The previous prime is 505827173. The next prime is 505827229. The reversal of 505827207 is 702728505.

505827207 is a `hidden beast` number, since 5 + 0 + 582 + 72 + 0 + 7 = 666.

It is not a de Polignac number, because 505827207 - 2¹⁵ = 505794439 is a prime.

It is a super-2 number, since 2×505827207² = 511722326682841698, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505827277) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350794 + ... + 352232.

It is an arithmetic number, because the mean of its divisors is an integer number (24019200).

Almost surely, 2^505827207 is an apocalyptic number.

505827207 is a deficient number, since it is larger than the sum of its proper divisors (262787193).

505827207 is a wasteful number, since it uses less digits than its factorization.

505827207 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 505827207 is about 22490.6026375462. The cubic root of 505827207 is about 796.7719961535.

The spelling of 505827207 in words is "five hundred five million, eight hundred twenty-seven thousand, two hundred seven".