509252 has 12 divisors (see below), whose sum is σ = 943740. Its totient is φ = 239616.

The previous prime is 509239. The next prime is 509263. The reversal of 509252 is 252905.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 329476 + 179776 = 574^2 + 424^2 .

It is an alternating number because its digits alternate between odd and even.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 509252.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3677 + ... + 3812.

It is an arithmetic number, because the mean of its divisors is an integer number (78645).

2⁵⁰⁹²⁵² is an apocalyptic number.

It is an amenable number.

509252 is a deficient number, since it is larger than the sum of its proper divisors (434488).

509252 is a wasteful number, since it uses less digits than its factorization.

509252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7510 (or 7508 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 509252 is about 713.6189459368. The cubic root of 509252 is about 79.8566181742.

The spelling of 509252 in words is "five hundred nine thousand, two hundred fifty-two".