505047627 has 24 divisors (see below), whose sum is σ = 834951936. Its totient is φ = 288175536.

The previous prime is 505047619. The next prime is 505047643. The reversal of 505047627 is 726740505.

It is not a de Polignac number, because 505047627 - 2³ = 505047619 is a prime.

It is a super-2 number, since 2×505047627² = 510146211076662258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 505047591 and 505047600.

It is not an unprimeable number, because it can be changed into a prime (505047617) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40288 + ... + 51314.

It is an arithmetic number, because the mean of its divisors is an integer number (34789664).

Almost surely, 2^505047627 is an apocalyptic number.

505047627 is a deficient number, since it is larger than the sum of its proper divisors (329904309).

505047627 is a wasteful number, since it uses less digits than its factorization.

505047627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11767 (or 11764 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 505047627 is about 22473.2647161021. The cubic root of 505047627 is about 796.3624578227.

The spelling of 505047627 in words is "five hundred five million, forty-seven thousand, six hundred twenty-seven".