509284925 has 18 divisors (see below), whose sum is σ = 638147214. Its totient is φ = 403192000.

The previous prime is 509284907. The next prime is 509284927. The reversal of 509284925 is 529482905.

It can be written as a sum of positive squares in 9 ways, for example, as 34175716 + 475109209 = 5846^2 + 21797^2 .

It is not a de Polignac number, because 509284925 - 2²⁰ = 508236349 is a prime.

It is a super-2 number, since 2×509284925² = 518742269664511250, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509284927) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 254027 + ... + 256023.

It is an arithmetic number, because the mean of its divisors is an integer number (35452623).

Almost surely, 2^509284925 is an apocalyptic number.

It is an amenable number.

509284925 is a deficient number, since it is larger than the sum of its proper divisors (128862289).

509284925 is a wasteful number, since it uses less digits than its factorization.

509284925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2209 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 44.

The square root of 509284925 is about 22567.3420012194. The cubic root of 509284925 is about 798.5833914434.

The spelling of 509284925 in words is "five hundred nine million, two hundred eighty-four thousand, nine hundred twenty-five".