509105325 has 24 divisors (see below), whose sum is σ = 843213888. Its totient is φ = 271041280.

The previous prime is 509105321. The next prime is 509105357. The reversal of 509105325 is 523501905.

It is not a de Polignac number, because 509105325 - 2² = 509105321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 509105292 and 509105301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509105321) 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, 38752 + ... + 50198.

It is an arithmetic number, because the mean of its divisors is an integer number (35133912).

Almost surely, 2^509105325 is an apocalyptic number.

It is an amenable number.

509105325 is a deficient number, since it is larger than the sum of its proper divisors (334108563).

509105325 is a wasteful number, since it uses less digits than its factorization.

509105325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12053 (or 12048 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 30.

The square root of 509105325 is about 22563.3624488905. The cubic root of 509105325 is about 798.4895065778.

The spelling of 509105325 in words is "five hundred nine million, one hundred five thousand, three hundred twenty-five".