505282561 has 32 divisors (see below), whose sum is σ = 647424000. Its totient is φ = 392348880.

The previous prime is 505282553. The next prime is 505282597. The reversal of 505282561 is 165282505.

It is not a de Polignac number, because 505282561 - 2³ = 505282553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (505282511) 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, 148206 + ... + 151576.

It is an arithmetic number, because the mean of its divisors is an integer number (20232000).

It is a Proth number, since it is equal to 3855 ⋅ 2¹⁷ + 1 and 3855 < 2¹⁷.

Almost surely, 2^505282561 is an apocalyptic number.

It is an amenable number.

505282561 is a deficient number, since it is larger than the sum of its proper divisors (142141439).

505282561 is a wasteful number, since it uses less digits than its factorization.

505282561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3434 (or 3420 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 34.

The square root of 505282561 is about 22478.4910748030. The cubic root of 505282561 is about 796.4859205122.

The spelling of 505282561 in words is "five hundred five million, two hundred eighty-two thousand, five hundred sixty-one".